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Approximation by complex Bernstein and convolution type operators [[electronic resource] /] / Sorin G. Gal
| Approximation by complex Bernstein and convolution type operators [[electronic resource] /] / Sorin G. Gal |
| Autore | Gal Sorin G. <1953-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (350 p.) |
| Disciplina | 511/.4 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Approximation theory
Operator theory Bernstein polynomials Convolutions (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76138-2
9786612761386 981-4282-43-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Bernstein-Type Operators of One Complex Variable; 1.0 Auxiliary Results in Complex Analysis; 1.1 Bernstein Polynomials; 1.1.1 Bernstein Polynomials on Compact Disks; 1.1.2 Bernstein-Faber Polynomials on Compact Sets; 1.2 Iterates of Bernstein Polynomials; 1.3 Generalized Voronovskaja Theorems for Bernstein Polynomials; 1.4 Butzer's Linear Combination of Bernstein Polynomials; 1.5 q-Bernstein Polynomials; 1.6 Bernstein-Stancu Polynomials; 1.7 Bernstein-Kantorovich Type Polynomials; 1.8 Favard-Sz asz-Mirakjan Operators; 1.9 Baskakov Operators
1.10 Bal azs-Szabados Operators1.11 Bibliographical Notes and Open Problems; 2. Bernstein-Type Operators of Several Complex Variables; 2.1 Introduction; 2.2 Bernstein Polynomials; 2.3 Favard-Sz asz-Mirakjan Operators; 2.4 Baskakov Operators; 2.5 Bibliographical Notes and Open Problems; 3. Complex Convolutions; 3.1 Linear Polynomial Convolutions; 3.2 Linear Non-Polynomial Convolutions; 3.2.1 Picard, Poisson-Cauchy and Gauss-Weierstrass Complex Convolutions; 3.2.2 Complex q-Picard and q-Gauss-Weierstrass Singular Integrals; 3.2.3 Post-Widder Complex Convolution 3.2.4 Rotation-Invariant Complex Convolutions3.2.5 Sikkema Complex Convolutions; 3.3 Nonlinear Complex Convolutions; 3.4 Bibliographical Notes and Open Problems; 4. Appendix : Related Topics; 4.1 Bernstein Polynomials of Quaternion Variable; 4.2 Approximation of Vector-Valued Functions; 4.2.1 Real Variable Case; 4.2.2 Complex Variable Case; 4.3 Strong Approximation by Complex Taylor Series; 4.4 Bibliographical Notes and Open Problems; Bibliography; Index |
| Record Nr. | UNINA-9910456141303321 |
Gal Sorin G. <1953->
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Approximation by complex Bernstein and convolution type operators [[electronic resource] /] / Sorin G. Gal
| Approximation by complex Bernstein and convolution type operators [[electronic resource] /] / Sorin G. Gal |
| Autore | Gal Sorin G. <1953-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (350 p.) |
| Disciplina | 511/.4 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Approximation theory
Operator theory Bernstein polynomials Convolutions (Mathematics) |
| ISBN |
1-282-76138-2
9786612761386 981-4282-43-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Bernstein-Type Operators of One Complex Variable; 1.0 Auxiliary Results in Complex Analysis; 1.1 Bernstein Polynomials; 1.1.1 Bernstein Polynomials on Compact Disks; 1.1.2 Bernstein-Faber Polynomials on Compact Sets; 1.2 Iterates of Bernstein Polynomials; 1.3 Generalized Voronovskaja Theorems for Bernstein Polynomials; 1.4 Butzer's Linear Combination of Bernstein Polynomials; 1.5 q-Bernstein Polynomials; 1.6 Bernstein-Stancu Polynomials; 1.7 Bernstein-Kantorovich Type Polynomials; 1.8 Favard-Sz asz-Mirakjan Operators; 1.9 Baskakov Operators
1.10 Bal azs-Szabados Operators1.11 Bibliographical Notes and Open Problems; 2. Bernstein-Type Operators of Several Complex Variables; 2.1 Introduction; 2.2 Bernstein Polynomials; 2.3 Favard-Sz asz-Mirakjan Operators; 2.4 Baskakov Operators; 2.5 Bibliographical Notes and Open Problems; 3. Complex Convolutions; 3.1 Linear Polynomial Convolutions; 3.2 Linear Non-Polynomial Convolutions; 3.2.1 Picard, Poisson-Cauchy and Gauss-Weierstrass Complex Convolutions; 3.2.2 Complex q-Picard and q-Gauss-Weierstrass Singular Integrals; 3.2.3 Post-Widder Complex Convolution 3.2.4 Rotation-Invariant Complex Convolutions3.2.5 Sikkema Complex Convolutions; 3.3 Nonlinear Complex Convolutions; 3.4 Bibliographical Notes and Open Problems; 4. Appendix : Related Topics; 4.1 Bernstein Polynomials of Quaternion Variable; 4.2 Approximation of Vector-Valued Functions; 4.2.1 Real Variable Case; 4.2.2 Complex Variable Case; 4.3 Strong Approximation by Complex Taylor Series; 4.4 Bibliographical Notes and Open Problems; Bibliography; Index |
| Record Nr. | UNINA-9910780725903321 |
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Gal Sorin G. <1953->
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Curves and Surfaces [[electronic resource] ] : 7th International Conference, Avignon, France, June 24-30, 2010, Revised Selected Papers / / edited by Jean-Daniel Boissonnat, Patrick Chenin, Albert Cohen, Christian Gout, Tom Lyche, Marie-Laurence Mazure, Larry Schumaker
| Curves and Surfaces [[electronic resource] ] : 7th International Conference, Avignon, France, June 24-30, 2010, Revised Selected Papers / / edited by Jean-Daniel Boissonnat, Patrick Chenin, Albert Cohen, Christian Gout, Tom Lyche, Marie-Laurence Mazure, Larry Schumaker |
| Edizione | [1st ed. 2012.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 |
| Descrizione fisica | 1 online resource (X, 748 p. 355 illus.) |
| Disciplina | 511/.4 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Image processing—Digital techniques
Computer vision Computer graphics Computer simulation Computer-aided engineering Computer science—Mathematics Discrete mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Computer Graphics Computer Modelling Computer-Aided Engineering (CAD, CAE) and Design Computer Vision Discrete Mathematics in Computer Science |
| ISBN | 3-642-27413-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996465994203316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Finite Elements and Approximation
| Finite Elements and Approximation |
| Autore | Zienkiewicz O. C |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Newburyport, : Dover Publications, 2013 |
| Descrizione fisica | 1 online resource (574 p.) |
| Disciplina | 511/.4 |
| Altri autori (Persone) | MorganK |
| Collana | Dover Books on Engineering |
| Soggetto topico |
Approximation theory
Finite element method Engineering & Applied Sciences Applied Mathematics |
| ISBN |
9781523125074
1523125071 9780486318011 048631801X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; 1. Continuum Boundary Value Problems and The Need for Numerical Discretization. Finite Difference Methods; 1.1. Introduction,; 1.2. Some Examples of Continuum Problems,; 1.3. Finite Differences in One Dimension,; 1.4. Derivative Boundary Conditions,; 1.5. Nonlinear Problems,; 1.6. Finite Differences in More Than One Dimension,; 1.7. Problems Involving Irregularly Shaped Regions,; 1.8. Nonlinear Problems in More Than One Dimension,; 1.9. Approximation and Convergence,; 1.10. Concluding Remarks,; References,; Suggested Further Reading,
2. Weighted Residual Methods: Use of Continuous Trial Functions2.1. Introduction-Approximation by Trial Functions,; 2.2. Weighted Residual Approximations,; 2.3. Approximation to the Solutions of Differential Equations and the Use of Trial Function-Weighted Residual Forms. Boundary Conditions Satisfied by Choice of Trial Functions,; 2.4. Simultaneous Approximation to the Solutions of Differential Equations and to the Boundary Conditions,; 2.5. Natural Boundary Conditions,; 2.6. Boundary Solution Methods,; 2.7. Systems of Differential Equations,; 2.8. Nonlinear Problems, 2.9. Concluding Remarks,References,; Suggested Further Reading,; 3. Piecewise Defined Trial Functions and The Finite Element Method; 3.1. Introduction-The Finite Element Concept,; 3.2. Some Typical Locally Defined Narrow-Base Shape Functions,; 3.3. Approximation to Solutions of Differential Equations and Continuity Requirements,; 3.4. Weak Formulation and the Galerkin Method,; 3.5. Some One-Dimensional Problems,; 3.6. Standard Discrete System. A Physical Analogue of the Equation Assembly Process,; 3.7. Generalization of the Finite Element Concepts for Two- and Three-Dimensional Problems, 3.8. The Finite Element Method for Two-Dimensional Heat Conduction Problems,3.9. Two-Dimensional Elastic Stress Analysis Using Triangular Elements,; 3.10. Are Finite Differences a Special Case of the Finite Element Method?,; 3.11. Concluding Remarks,; References,; Suggested Further Reading,; 4. Higher Order Finite Element Approximation; 4.1. Introduction,; 4.2. Degree of Polynomial in Trial Functions and Convergence Rates,; 4.3. The Patch Test,; 4.4. Standard Higher Order Shape Functions for One-Dimensional Elements with C0 Continuity, 4.5. Hierarchical Forms of Higher Order One-Dimensional Elements with C0 Continuity,4.6. Two-Dimensional Rectangular Finite Element Shape Functions of Higher Order,; 4.7. Two-Dimensional Shape Functions for Triangles,; 4.8. Three-Dimensional Shape Functions,; 4.9. Concluding Remarks,; References,; Suggested Further Reading,; 5. Mapping and Numerical Integration; 5.1. The Concept of Mapping,; 5.2. Numerical Integration,; 5.3. More on Mapping,; 5.4. Mesh Generation and Concluding Remarks,; References,; Suggested Further Reading,; 6. Variational Methods; 6.1. Introduction, 6.2. Variational Principles, |
| Record Nr. | UNINA-9911006699703321 |
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Zienkiewicz O. C
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| Newburyport, : Dover Publications, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Iterative Krylov methods for large linear systems / / Henk A. van der Vorst [[electronic resource]]
| Iterative Krylov methods for large linear systems / / Henk A. van der Vorst [[electronic resource]] |
| Autore | Vorst H. A. van der <1944-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2003 |
| Descrizione fisica | 1 online resource (xiii, 221 pages) : digital, PDF file(s) |
| Disciplina | 511/.4 |
| Collana | Cambridge monographs on applied and computational mathematics |
| Soggetto topico |
Iterative methods (Mathematics)
Linear systems |
| ISBN |
1-107-13540-0
1-280-43457-0 9786610434572 0-511-17900-6 1-139-14863-X 0-511-06134-X 0-511-05501-3 0-511-61511-6 0-511-30613-X 0-511-06980-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 Mathematical preliminaries; 3 Basic iteration methods; 4 Construction of approximate solutions; 5 The Conjugate Gradients method; 6 GMRES and MINRES; 7 Bi-Conjugate Gradients; 8 How serious is irregular convergence?; 9 Bi-CGSTAB; 10 Solution of singular systems; 11 Solution of f (A)x = b with Krylov subspace information; 12 Miscellaneous; 13 Preconditioning; References; Index |
| Record Nr. | UNINA-9910449676303321 |
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Vorst H. A. van der <1944->
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| Cambridge : , : Cambridge University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Iterative Krylov methods for large linear systems / / Henk A. van der Vorst [[electronic resource]]
| Iterative Krylov methods for large linear systems / / Henk A. van der Vorst [[electronic resource]] |
| Autore | Vorst H. A. van der <1944-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2003 |
| Descrizione fisica | 1 online resource (xiii, 221 pages) : digital, PDF file(s) |
| Disciplina | 511/.4 |
| Collana | Cambridge monographs on applied and computational mathematics |
| Soggetto topico |
Iterative methods (Mathematics)
Linear systems |
| ISBN |
1-107-13540-0
1-280-43457-0 9786610434572 0-511-17900-6 1-139-14863-X 0-511-06134-X 0-511-05501-3 0-511-61511-6 0-511-30613-X 0-511-06980-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 Mathematical preliminaries; 3 Basic iteration methods; 4 Construction of approximate solutions; 5 The Conjugate Gradients method; 6 GMRES and MINRES; 7 Bi-Conjugate Gradients; 8 How serious is irregular convergence?; 9 Bi-CGSTAB; 10 Solution of singular systems; 11 Solution of f (A)x = b with Krylov subspace information; 12 Miscellaneous; 13 Preconditioning; References; Index |
| Record Nr. | UNINA-9910783113203321 |
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Vorst H. A. van der <1944->
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| Cambridge : , : Cambridge University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Overconvergence in complex approximation / / Sorin G. Gal
| Overconvergence in complex approximation / / Sorin G. Gal |
| Autore | Gal Sorin G |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer Science, 2013 |
| Descrizione fisica | 1 online resource (206 p.) |
| Disciplina | 511/.4 |
| Soggetto topico |
Approximation theory
Functional analysis |
| ISBN | 1-4614-7098-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Overconvergence in C of Some Bernstein-Type Operators -- Overconvergence and Convergence in C of Some Integral Convolutions -- Overconvergence in C of the Orthogonal Expansions . |
| Record Nr. | UNINA-9910437872803321 |
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Gal Sorin G
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| New York, : Springer Science, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz
| Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz |
| Autore | Steinmetz Norbert <1949-> |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (195 p.) |
| Disciplina | 511/.4 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Iterative methods (Mathematics)
Mappings (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-088931-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- List of Special Symbols -- 1 Preliminaries -- 2 The Dynamical Dichotomy -- 3 The Fatou Set -- 4 The Existence of Rotation Domains -- 5 The Geometry of the Julia Set -- 6 Miscellanea -- Bibliography -- Index -- Back matter |
| Record Nr. | UNINA-9910462273003321 |
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Steinmetz Norbert <1949->
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| Berlin ; ; New York, : W. de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz
| Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz |
| Autore | Steinmetz Norbert <1949-> |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (195 p.) |
| Disciplina | 511/.4 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Iterative methods (Mathematics)
Mappings (Mathematics) |
| ISBN | 3-11-088931-5 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- List of Special Symbols -- 1 Preliminaries -- 2 The Dynamical Dichotomy -- 3 The Fatou Set -- 4 The Existence of Rotation Domains -- 5 The Geometry of the Julia Set -- 6 Miscellanea -- Bibliography -- Index -- Back matter |
| Record Nr. | UNINA-9910785814103321 |
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Steinmetz Norbert <1949->
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| Berlin ; ; New York, : W. de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of uniform approximation of functions by polynomials [[electronic resource] /] / Vladislav K. Dzyadyk, Igor A. Shevchuk
| Theory of uniform approximation of functions by polynomials [[electronic resource] /] / Vladislav K. Dzyadyk, Igor A. Shevchuk |
| Autore | Dzi͡adyk Vladislav Kirillovich |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter De Gruyter, c2008 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 511/.4 |
| Altri autori (Persone) | ShevchukIgor A |
| Soggetto topico |
Approximation theory
Functional analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-19698-7
9786612196980 3-11-915945-X 3-11-020824-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Chebyshev theory and its development -- Chapter 2. Weierstrass theorems -- Chapter 3. On smoothness of functions -- Chapter 4. Extension -- Chapter 5. Direct theorems on the approximation of periodic functions -- Chapter 6. Inverse theorems on the approximation of periodic functions -- Chapter 7. Approximation by polynomials -- Backmatter |
| Record Nr. | UNINA-9910454346503321 |
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Dzi͡adyk Vladislav Kirillovich
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| Berlin ; ; New York, : Walter De Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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