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Advanced inequalities [[electronic resource] /] / George A. Anastassiou
| Advanced inequalities [[electronic resource] /] / George A. Anastassiou |
| Autore | Anastassiou George A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (450 p.) |
| Disciplina | 515.26 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico | Inequalities (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14489-1
9786613144898 981-4317-63-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction; 2. Advanced Univariate Ostrowski Type Inequalities; 3. Higher Order Ostrowski Inequalities; 4. Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities; 5. More on Multidimensional Ostrowski Type Inequalities; 6. Ostrowski Inequalities on Euclidean Domains; 7. High Order Ostrowski Inequalities on Euclidean Domains; 8. Ostrowski Inequalities on Spherical Shells; 9. Ostrowski Inequalities on Balls and Shells Via Taylor{Widder Formula; 10. Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point
11. General Multivariate Weighted Opial Inequalities 12. Opial Inequalities for Widder Derivatives; 13. Opial Inequalities for Linear Differential Operators; 14. Opial Inequalities for Vector Valued Functions; 15. Opial Inequalities for Semigroups; 16. Opial Inequalities for Cosine and Sine Operator Functions; 17. Poincare Like Inequalities for Linear Differential Operators; 18. Poincare and Sobolev Like Inequalities for Widder Derivatives; 19. Poincare and Sobolev Like Inequalities for Vector Valued Functions; 20. Poincare Type Inequalities for Semigroups, Cosine and Sine Operator Functions 21. Hardy-Opial Type Inequalities 22. A Basic Sharp Integral Inequality; 23. Estimates of the Remainder in Taylor's Formula; 24. The Distributional Taylor Formula; 25. Chebyshev-Gruss Type Inequalities Using Euler Type and Fink Identities; 26. Gruss Type Multivariate Integral Inequalities; 27. Chebyshev-Gruss Type Inequalities on Spherical Shells and Balls; 28. Multivariate Chebyshev-Gruss and Comparison of Integral Means Inequalities; 29. Multivariate Fink Type Identity Applied to Multivariate Inequalities; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910464238003321 |
Anastassiou George A
|
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| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced inequalities [[electronic resource] /] / George A. Anastassiou
| Advanced inequalities [[electronic resource] /] / George A. Anastassiou |
| Autore | Anastassiou George A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (450 p.) |
| Disciplina | 515.26 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico | Inequalities (Mathematics) |
| ISBN |
1-283-14489-1
9786613144898 981-4317-63-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction; 2. Advanced Univariate Ostrowski Type Inequalities; 3. Higher Order Ostrowski Inequalities; 4. Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities; 5. More on Multidimensional Ostrowski Type Inequalities; 6. Ostrowski Inequalities on Euclidean Domains; 7. High Order Ostrowski Inequalities on Euclidean Domains; 8. Ostrowski Inequalities on Spherical Shells; 9. Ostrowski Inequalities on Balls and Shells Via Taylor{Widder Formula; 10. Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point
11. General Multivariate Weighted Opial Inequalities 12. Opial Inequalities for Widder Derivatives; 13. Opial Inequalities for Linear Differential Operators; 14. Opial Inequalities for Vector Valued Functions; 15. Opial Inequalities for Semigroups; 16. Opial Inequalities for Cosine and Sine Operator Functions; 17. Poincare Like Inequalities for Linear Differential Operators; 18. Poincare and Sobolev Like Inequalities for Widder Derivatives; 19. Poincare and Sobolev Like Inequalities for Vector Valued Functions; 20. Poincare Type Inequalities for Semigroups, Cosine and Sine Operator Functions 21. Hardy-Opial Type Inequalities 22. A Basic Sharp Integral Inequality; 23. Estimates of the Remainder in Taylor's Formula; 24. The Distributional Taylor Formula; 25. Chebyshev-Gruss Type Inequalities Using Euler Type and Fink Identities; 26. Gruss Type Multivariate Integral Inequalities; 27. Chebyshev-Gruss Type Inequalities on Spherical Shells and Balls; 28. Multivariate Chebyshev-Gruss and Comparison of Integral Means Inequalities; 29. Multivariate Fink Type Identity Applied to Multivariate Inequalities; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910788556503321 |
|
Anastassiou George A
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced inequalities / / George A. Anastassiou
| Advanced inequalities / / George A. Anastassiou |
| Autore | Anastassiou George A |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (450 p.) |
| Disciplina | 515.26 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico | Inequalities (Mathematics) |
| ISBN |
1-283-14489-1
9786613144898 981-4317-63-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction; 2. Advanced Univariate Ostrowski Type Inequalities; 3. Higher Order Ostrowski Inequalities; 4. Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities; 5. More on Multidimensional Ostrowski Type Inequalities; 6. Ostrowski Inequalities on Euclidean Domains; 7. High Order Ostrowski Inequalities on Euclidean Domains; 8. Ostrowski Inequalities on Spherical Shells; 9. Ostrowski Inequalities on Balls and Shells Via Taylor{Widder Formula; 10. Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point
11. General Multivariate Weighted Opial Inequalities 12. Opial Inequalities for Widder Derivatives; 13. Opial Inequalities for Linear Differential Operators; 14. Opial Inequalities for Vector Valued Functions; 15. Opial Inequalities for Semigroups; 16. Opial Inequalities for Cosine and Sine Operator Functions; 17. Poincare Like Inequalities for Linear Differential Operators; 18. Poincare and Sobolev Like Inequalities for Widder Derivatives; 19. Poincare and Sobolev Like Inequalities for Vector Valued Functions; 20. Poincare Type Inequalities for Semigroups, Cosine and Sine Operator Functions 21. Hardy-Opial Type Inequalities 22. A Basic Sharp Integral Inequality; 23. Estimates of the Remainder in Taylor's Formula; 24. The Distributional Taylor Formula; 25. Chebyshev-Gruss Type Inequalities Using Euler Type and Fink Identities; 26. Gruss Type Multivariate Integral Inequalities; 27. Chebyshev-Gruss Type Inequalities on Spherical Shells and Balls; 28. Multivariate Chebyshev-Gruss and Comparison of Integral Means Inequalities; 29. Multivariate Fink Type Identity Applied to Multivariate Inequalities; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910820494203321 |
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Anastassiou George A
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| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional Numerical Methods: Applications to Abstract Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros
| Functional Numerical Methods: Applications to Abstract Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (X, 161 p.) |
| Disciplina | 515.83 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Computational intelligence
Control engineering Artificial intelligence System theory Computational Intelligence Control and Systems Theory Artificial Intelligence Systems Theory, Control |
| ISBN | 3-319-69526-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus -- Convergence of Iterative methods in abstract fractional calculus -- Equations for Banach space valued functions in fractional vector calculi -- Iterative methods in abstract fractional calculus -- Semi-local convergence in right abstract fractional calculus -- Algorithmic convergence in abstract g-fractional calculus -- Iterative procedures for solving equations in abstract fractional calculus -- Approximate solutions of equations in abstract g-fractional calculus -- Generating sequences for solving in abstract g-fractional calculus -- Numerical Optimization and fractional invexity. |
| Record Nr. | UNINA-9910299870403321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intelligent Analysis: Fractional Inequalities and Approximations Expanded / / by George A. Anastassiou
| Intelligent Analysis: Fractional Inequalities and Approximations Expanded / / by George A. Anastassiou |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (xiv, 525 pages) |
| Disciplina | 515 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Control engineering Computational complexity Computational Intelligence Control and Systems Theory Complexity |
| ISBN | 3-030-38636-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | General Ordinary Iyengar Inequalities -- Caputo fractional Iyengar Inequalities -- Canavati fractional Iyengar Inequalities -- General Multivariate Iyengar inequalities -- Multivariate Iyengar inequalities for radial functions -- Multidimensional Fractional Iyengar inequalities for radial functions -- General Multidimensional Fractional Iyengar inequalities -- Delta Time Scales Iyengar Inequalities. |
| Record Nr. | UNINA-9910481958903321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intelligent Comparisons II: Operator Inequalities and Approximations / / by George A. Anastassiou
| Intelligent Comparisons II: Operator Inequalities and Approximations / / by George A. Anastassiou |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XII, 224 p.) |
| Disciplina | 515.26 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Artificial intelligence Approximation theory Computational Intelligence Artificial Intelligence Approximations and Expansions |
| ISBN | 3-319-51475-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Self Adjoint Operator Korovkin type Quantitative Approximation Theory -- Self Adjoint Operator Korovkin and polynomial direct Approximations with rates -- Quantitative Self Adjoint Operator other Direct Approximations -- Fractional Self Adjoint Operator Poincare and Sobolev Inequalities -- Self Adjoint Operator Ostrowski Inequalities -- Integer and Fractional Self Adjoint Operator Opial Inequalities -- Self Adjoint Operator Chebyshev-Gruss Inequalities -- Ultra General Fractional Self Adjoint Operator Representation formulae and Operator Poincare and Sobolev and other basic Inequalities -- Harmonic Self Adjoint Operator Chebyshev-Gruss type Inequalities -- Ultra general Self Adjoint Operator Chebyshev-Gruss type Inequalities -- About a fractional Means inequality. |
| Record Nr. | UNINA-9910254170803321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intelligent Comparisons: Analytic Inequalities / / by George A. Anastassiou
| Intelligent Comparisons: Analytic Inequalities / / by George A. Anastassiou |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XV, 662 p.) |
| Disciplina | 512.97 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Artificial intelligence Mathematical analysis Analysis (Mathematics) Computational Intelligence Artificial Intelligence Analysis |
| ISBN | 3-319-21121-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fractional Polya Integral Inequality -- Univariate Fractional Polya Integral Inequalities -- About Multivariate General Fractional Polya Integral Inequalities -- Balanced Canavati Fractional Opial Inequalities -- Fractional Representation Formulae and Fractional Ostrowski Inequalities -- Basic Fractional Integral Inequalities -- Harmonic Multivariate Ostrowski and Grüss Inequalities -- Fractional Ostrowski and Grüss Inequalities Using Several Functions -- Further Interpretation of Some Fractional Ostrowski and Grüss Type Inequalities -- Multivariate Fractional Representation Formula and Ostrowski Inequality -- Fractional Representation Formulae and Ostrowski Inequalities -- About Multivariate Lyapunov Inequalities -- Ostrowski Type Inequalities for Semigroups -- About Ostrowski Inequalities for Cosine and Sine Operator Functions -- About Hilbert-Pachpatte Inequalities -- About Ostrowski and Landau Type Inequalities -- Multidimensional Ostrowski Type Inequalities -- About Fractional Representation Formulae and Right Fractional Inequalities -- About Canavati fractional Ostrowski inequalities -- The Most General Fractional Representation Formula -- Rational Inequalities for Integral Operators Using Convexity -- Fractional Integral Inequalities with Convexity -- Vectorial Inequalities for Integral Operators -- Vectorial Splitting Rational Lp Inequalities for Integral Operators -- Separating Rational Lp Inequalities for Integral Operators -- About Vectorial Hardy Type Fractional Inequalities -- About Vectorial Fractional Integral Inequalities Using Convexity. |
| Record Nr. | UNINA-9910254191003321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations / / by George A. Anastassiou
| Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations / / by George A. Anastassiou |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (X, 319 p.) |
| Disciplina | 515.732 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Artificial intelligence Computational Intelligence Artificial Intelligence |
| ISBN | 3-319-66936-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A strong left Fractional Calculus for Banach space valued functions -- Strong Right Abstract Fractional Calculus -- Strong mixed and generalized Abstract Fractional Calculus -- Foundations of General Fractional Analysis for Banach space valued functions -- Vector abstract fractional Korovkin Approximation -- Basic Abstract Korovkin theory -- High Approximation for Banach space valued functions -- Vectorial abstract fractional approximation using linear operators -- Abstract fractional trigonometric Korovkin approximation -- Multivariate Abstract Approximation for Banach space valued functions -- Arctangent function based Abstract Neural Network approximation. . |
| Record Nr. | UNINA-9910299894003321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros
| Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XII, 116 p.) |
| Disciplina | 519.535 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Artificial intelligence Computer mathematics Computational complexity Computational Intelligence Artificial Intelligence Computational Science and Engineering Complexity |
| ISBN | 3-319-33606-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fixed Point Results and Applications in Left Multivariate Fractional Calculus -- Fixed Point Results and Applications in Right Multivariate Fractional Calculus -- Semi-local Iterative Procedures and Applications In K-Multivariate Fractional Calculus -- Newton-like Procedures and Applications in Multivariate Fractional Calculus -- Implicit Iterative Algorithms and Applications in Multivariate Calculus -- Monotone Iterative Schemes and Applications in Fractional Calculus -- Extending the Convergence Domain of Newton’s Method -- The Left Multidimensional Riemann-Liouville Fractional Integral -- The Right Multidimensional Riemann-Liouville Fractional Integral. |
| Record Nr. | UNINA-9910254252903321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intelligent Numerical Methods: Applications to Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros
| Intelligent Numerical Methods: Applications to Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros |
| Autore | Anastassiou George A |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XVI, 423 p. 2 illus. in color.) |
| Disciplina | 515.83 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Artificial intelligence Computer mathematics Computational complexity Computational Intelligence Artificial Intelligence Computational Science and Engineering Complexity |
| ISBN | 3-319-26721-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Newton-Like Methods on Generalized Banach Spaces and Fractional Calculus -- Semilocal Convegence of Newton-Like Methods and Fractional Calculus -- Convergence of Iterative Methods and Generalized Fractional Calculus -- Fixed Point Techniques And Generalized Right Fractional Calculus -- Approximating Fixed Points And K-Fractional Calculus -- Iterative Methods And Generalized G-Fractional Calculus -- Unified Convergence Analysis For Iterative Algorithms And Fractional Calculus -- Convergence Analysis For Extended Iterative Algorithms And Fractional And Vector Calculus -- Convergence Analysis For Extended Iterative Algorithms And Fractional Calculus -- Secant-Like Methods And Fractional Calculus -- Secant-Like Methods And Modified G- Fractional Calculus -- Secant-Like Algorithms And Generalized Fractional Calculus -- Secant-Like Methods And Generalized G-Fractional Calculus Of Canavati-Type -- Iterative Algorithms And Left-Right Caputo Fractional Derivatives -- Iterative Methods On Banach Spaces With A Convergence Structure And Fractional Calculus -- Inexact Gauss-Newton Method For Singular Equations -- The Asymptotic Mesh Independence Principle -- Ball Convergence Of A Sixth Order Iterative Method -- Broyden’s Method With Regularily Continuous Divided Differences -- Left General Fractional Monotone Approximation -- Right General Fractional Monotone Approximation Theor -- Left Generalized High Order Fractional Monotone Approximation -- Right Generalized High Order Fractional Monotone Approximation -- Advanced Fractional Taylor’s Formulae -- Generalized Canavati Type Fractional Taylor’s Formulae. |
| Record Nr. | UNINA-9910254203803321 |
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Anastassiou George A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
