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IEEE Std 1788-2015 : IEEE standard for interval arithmetic / / Institute of Electrical and Electronics Engineers
| IEEE Std 1788-2015 : IEEE standard for interval arithmetic / / Institute of Electrical and Electronics Engineers |
| Pubbl/distr/stampa | New York, New York : , : IEEE, , 2015 |
| Descrizione fisica | 1 online resource (xiv, 79 pages) |
| Disciplina | 511.42 |
| Soggetto topico | Interval analysis (Mathematics) |
| ISBN | 0-7381-9720-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | IEEE Std 1788-2015: IEEE Standard for Interval Arithmetic |
| Record Nr. | UNISA-996278295303316 |
| New York, New York : , : IEEE, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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IEEE Std 1788.1-2017: : IEEE Standard for Interval Arithmetic (Simplified) / / IEEE
| IEEE Std 1788.1-2017: : IEEE Standard for Interval Arithmetic (Simplified) / / IEEE |
| Pubbl/distr/stampa | New York, USA : , : IEEE, , 2018 |
| Descrizione fisica | 1 online resource (38 pages) |
| Disciplina | 511.42 |
| Soggetto topico | Interval analysis (Mathematics) |
| ISBN | 1-5044-4602-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
1788.1-2017 - IEEE Standard for Interval Arithmetic
IEEE Std 1788.1-2017 |
| Record Nr. | UNINA-9910255436303321 |
| New York, USA : , : IEEE, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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IEEE Std 1788.1-2017: : IEEE Standard for Interval Arithmetic (Simplified) / / IEEE
| IEEE Std 1788.1-2017: : IEEE Standard for Interval Arithmetic (Simplified) / / IEEE |
| Pubbl/distr/stampa | New York, USA : , : IEEE, , 2018 |
| Descrizione fisica | 1 online resource (38 pages) |
| Disciplina | 511.42 |
| Soggetto topico | Interval analysis (Mathematics) |
| ISBN | 1-5044-4602-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
1788.1-2017 - IEEE Standard for Interval Arithmetic
IEEE Std 1788.1-2017 |
| Record Nr. | UNISA-996280251103316 |
| New York, USA : , : IEEE, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Interpolation / J. F. Steffensen
| Interpolation / J. F. Steffensen |
| Autore | Steffensen, Johan Frederik |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Mineola, : Dover, 2006 |
| Descrizione fisica | VII, 248 p. ; 21 cm. |
| Disciplina | 511.42 |
| ISBN | 0486450090 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAS-RML0305040 |
Steffensen, Johan Frederik
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| Mineola, : Dover, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Cassino | ||
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Interpolation and approximation / Philip J. Davis
| Interpolation and approximation / Philip J. Davis |
| Autore | Davis, Philip J. <1923- > |
| Pubbl/distr/stampa | New York : Dover publications, c1975 |
| Descrizione fisica | xiv, 393 p. : ill. ; 21 cm |
| Disciplina | 511.42 |
| Collana | Dover books on advanced mathematics |
| Soggetto non controllato |
Teoria dell'approssimazione
Interpolazione |
| ISBN | 0486624951 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000478200403321 |
| Davis, Philip J. <1923- > | ||
| New York : Dover publications, c1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Interpolation and approximation / Philip J. Davis
| Interpolation and approximation / Philip J. Davis |
| Autore | Davis, Philip J. |
| Pubbl/distr/stampa | New York : Dover Publications, 1975 |
| Disciplina | 511.42 |
| Soggetto non controllato | interpolazione matematica |
| ISBN | 0-486-62495-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990000156770203316 |
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Davis, Philip J.
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| New York : Dover Publications, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Interpolation and extrapolation optimal designs 1 : polynomial regression and approximation theory / / Giorgio Celant, Michel Broniatowski
| Interpolation and extrapolation optimal designs 1 : polynomial regression and approximation theory / / Giorgio Celant, Michel Broniatowski |
| Autore | Celant Giorgio |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2016 |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 511.42 |
| Collana | Mathematics and Statistics |
| Soggetto topico |
Interpolation
Approximation theory |
| ISBN |
1-119-29229-8
1-119-29228-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Table of Contents; Title; Copyright; Preface; Introduction; I.1. The scope of this book; I.2. A generic case: the Hoel and Levine extrapolation scheme and the uniform interpolation design of Guest; I.3. Extrapolation design in non standard cases, algorithms; I.4. Uniform approximation of functions, an outlook; I.5. A general bibliography; PART 1: Elements from Approximation Theory; 1 Uniform Approximation; 1.1. Canonical polynomials and uniform approximation; 1.2. Existence of the best approximation; 1.3. Characterization and uniqueness of the best approximation
2 Convergence Rates for the Uniform Approximation and Algorithms2.1. Introduction; 2.2. The Borel-Chebyshev theorem and standard functions; 2.3. Convergence of the minimax approximation; 2.4. Proof of the de la Vallée Poussin theorem; 2.5. The Yevgeny Yakovlevich Remez algorithm; 3 Constrained Polynomial Approximation; 3.1. Introduction and examples; 3.2. Lagrange polynomial interpolation; 3.3. The interpolation error; 3.4. The role of the nodes and the minimization of the interpolation error; 3.5. Convergence of the interpolation approximation; 3.6. Runge phenomenon and lack of convergence 5 An Introduction to Extrapolation Problems Based on Observations on a Collection of Intervals5.1. Introduction; 5.2. The model, the estimator and the criterion for the choice of the design; 5.3. A constrained Borel-Chebyshev theorem; 5.4. Qualitative properties of the polynomial which determines the optimal nodes; 5.5. Identification of the polynomial which characterizes the optimal nodes; 5.6. The optimal design in favorable cases; 5.7. The optimal design in the general case; 5.8. Spruill theorem: the optimal design 6 Instability of the Lagrange Interpolation Scheme With Respect to Measurement Errors6.1. Introduction; 6.2. The errors that cannot be avoided; 6.3. Control of the relative errors; 6.4. Randomness; 6.5. Some inequalities for the derivatives of polynomials; 6.6. Concentration inequalities; 6.7. Upper bounds of the extrapolation error due to randomness, and the resulting size of the design for real analytic regression functions; PART 3: Mathematical Material; Appendix 1: Normed Linear Spaces; A1.1. General notions A1.2. Compatibility between the topological and the linear structure in linear spaces |
| Record Nr. | UNINA-9910136914703321 |
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Celant Giorgio
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| London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation and extrapolation optimal designs 1 : polynomial regression and approximation theory / / Giorgio Celant, Michel Broniatowski
| Interpolation and extrapolation optimal designs 1 : polynomial regression and approximation theory / / Giorgio Celant, Michel Broniatowski |
| Autore | Celant Giorgio |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2016 |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 511.42 |
| Collana | Mathematics and Statistics |
| Soggetto topico |
Interpolation
Approximation theory |
| ISBN |
1-119-29229-8
1-119-29228-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Table of Contents; Title; Copyright; Preface; Introduction; I.1. The scope of this book; I.2. A generic case: the Hoel and Levine extrapolation scheme and the uniform interpolation design of Guest; I.3. Extrapolation design in non standard cases, algorithms; I.4. Uniform approximation of functions, an outlook; I.5. A general bibliography; PART 1: Elements from Approximation Theory; 1 Uniform Approximation; 1.1. Canonical polynomials and uniform approximation; 1.2. Existence of the best approximation; 1.3. Characterization and uniqueness of the best approximation
2 Convergence Rates for the Uniform Approximation and Algorithms2.1. Introduction; 2.2. The Borel-Chebyshev theorem and standard functions; 2.3. Convergence of the minimax approximation; 2.4. Proof of the de la Vallée Poussin theorem; 2.5. The Yevgeny Yakovlevich Remez algorithm; 3 Constrained Polynomial Approximation; 3.1. Introduction and examples; 3.2. Lagrange polynomial interpolation; 3.3. The interpolation error; 3.4. The role of the nodes and the minimization of the interpolation error; 3.5. Convergence of the interpolation approximation; 3.6. Runge phenomenon and lack of convergence 5 An Introduction to Extrapolation Problems Based on Observations on a Collection of Intervals5.1. Introduction; 5.2. The model, the estimator and the criterion for the choice of the design; 5.3. A constrained Borel-Chebyshev theorem; 5.4. Qualitative properties of the polynomial which determines the optimal nodes; 5.5. Identification of the polynomial which characterizes the optimal nodes; 5.6. The optimal design in favorable cases; 5.7. The optimal design in the general case; 5.8. Spruill theorem: the optimal design 6 Instability of the Lagrange Interpolation Scheme With Respect to Measurement Errors6.1. Introduction; 6.2. The errors that cannot be avoided; 6.3. Control of the relative errors; 6.4. Randomness; 6.5. Some inequalities for the derivatives of polynomials; 6.6. Concentration inequalities; 6.7. Upper bounds of the extrapolation error due to randomness, and the resulting size of the design for real analytic regression functions; PART 3: Mathematical Material; Appendix 1: Normed Linear Spaces; A1.1. General notions A1.2. Compatibility between the topological and the linear structure in linear spaces |
| Record Nr. | UNINA-9910820452703321 |
|
Celant Giorgio
|
||
| London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation and extrapolation optimal designs 2 : finite dimensional general models / / Giorgio Celant, Michel Broniatowski
| Interpolation and extrapolation optimal designs 2 : finite dimensional general models / / Giorgio Celant, Michel Broniatowski |
| Autore | Celant Giorgio |
| Pubbl/distr/stampa | London, [England] ; ; Hoboken, [New Jersey] : , : ISTE : , : Wiley, , 2017 |
| Descrizione fisica | 1 online resource (321 pages) : illustrations |
| Disciplina | 511.42 |
| Collana | Mathematics and Statistics |
| Soggetto topico |
Interpolation
Approximation theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-119-42234-5
1-119-42232-9 1-119-42236-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910271025403321 |
|
Celant Giorgio
|
||
| London, [England] ; ; Hoboken, [New Jersey] : , : ISTE : , : Wiley, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation and extrapolation optimal designs 2 : finite dimensional general models / / Giorgio Celant, Michel Broniatowski
| Interpolation and extrapolation optimal designs 2 : finite dimensional general models / / Giorgio Celant, Michel Broniatowski |
| Autore | Celant Giorgio |
| Pubbl/distr/stampa | London, [England] ; ; Hoboken, [New Jersey] : , : ISTE : , : Wiley, , 2017 |
| Descrizione fisica | 1 online resource (321 pages) : illustrations |
| Disciplina | 511.42 |
| Collana | Mathematics and Statistics |
| Soggetto topico |
Interpolation
Approximation theory |
| ISBN |
1-119-42234-5
1-119-42232-9 1-119-42236-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910830926103321 |
|
Celant Giorgio
|
||
| London, [England] ; ; Hoboken, [New Jersey] : , : ISTE : , : Wiley, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
