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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-9910820452703321 |
Celant Giorgio
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| London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Celant Giorgio
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| 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 |
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Celant Giorgio
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||
| London, [England] ; ; Hoboken, [New Jersey] : , : ISTE : , : Wiley, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation and sampling in spaces of analytic functions / Kristian Seip
| Interpolation and sampling in spaces of analytic functions / Kristian Seip |
| Autore | Seip, Kristian |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2004 |
| Descrizione fisica | xii, 139 p. ; 26 cm |
| Disciplina | 515.9 |
| Collana | University lecture series, 1047-3998 ; 33 |
| Soggetto topico |
Analytic functions
Hardy classes Generalized spaces Interpolation |
| ISBN | 0821835548 |
| Classificazione |
AMS 30D45
AMS 30D50 LC QA331.S435 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002589459707536 |
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Seip, Kristian
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| Providence, R. I. : American Mathematical Society, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Interpolation and sidon sets for compact groups / / Colin C. Graham, Kathryn E. Hare
| Interpolation and sidon sets for compact groups / / Colin C. Graham, Kathryn E. Hare |
| Autore | Graham Colin C |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 511.422 |
| Altri autori (Persone) | HareKathryn E |
| Collana | Canadian Mathematical Society = Societe mathematique du Canada |
| Soggetto topico |
Interpolation
Sidon sets Compact Abelian groups |
| ISBN |
1-283-94511-8
1-4614-5392-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Hadamard Sets -- $\epsilon$-Kronecker sets -- Sidon sets: Introduction and decomposition properties -- Characterizations of $I_0$ sets -- Proportional characterizations of Sidon sets -- Decompositions of $I_0$ sets -- Sizes of thin sets -- Sets of zero discrete harmonic density -- Related results.-Open problems -- Appendices (Groups, Probability, Combinatoric results,...) -- Bibliography -- Author index -- Subject index -- Index of notation. |
| Record Nr. | UNINA-9910438137003321 |
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Graham Colin C
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| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Interpolation formulas for viscosity of six gases : air, nitrogen, carbon dioxide, helium, argon, and oxygen / / Frank E. Jones
| Interpolation formulas for viscosity of six gases : air, nitrogen, carbon dioxide, helium, argon, and oxygen / / Frank E. Jones |
| Autore | Jones Frank E |
| Pubbl/distr/stampa | Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1984 |
| Descrizione fisica | 1 online resource |
| Altri autori (Persone) | JonesFrank E |
| Collana | NBS technical note |
| Soggetto topico |
Gases - Mathematical models
Interpolation Viscosity - Mathematical models |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Interpolation formulas for viscosity of six gases |
| Record Nr. | UNINA-9910711224003321 |
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Jones Frank E
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| Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Interpolation of operators and singular integrals : an introduction to harmonic analysis / Cora Sadosky
| Interpolation of operators and singular integrals : an introduction to harmonic analysis / Cora Sadosky |
| Autore | Sadosky, Cora |
| Pubbl/distr/stampa | New York ; Basel : Marcel Dekker, c1979 |
| Descrizione fisica | xi, 375 p. ; 24 cm. |
| Disciplina | 515.785 |
| Collana | Monographs and textbooks in pure and applied mathematics ; 53 |
| Soggetto topico |
Harmonic analysis
Interpolation Operator theory Singular integrals |
| ISBN | 0824768833 |
| Classificazione |
AMS 43-01
QA403.s2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001007379707536 |
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Sadosky, Cora
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| New York ; Basel : Marcel Dekker, c1979 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman
| Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman |
| Autore | Cwikel M (Michael), <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina |
510 s
515/.732 |
| Altri autori (Persone) | CwikelM <1948-> (Michael) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Banach lattices
Interpolation |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0385-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Interpolation of weighted Banach lattices""; ""0. Introduction""; ""1. Definitions, terminology and preliminary results""; ""2. The main results""; ""3. A uniqueness theorem""; ""4. Two properties of the K-functional for a couple of Banach lattices""; ""5. Characterizations of couples which are uniformly Calderon-Mityagin for all weights""; ""6. Some uniform boundedness principles for interpolation of Banach lattices""; ""7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions""; ""References""
""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower p�estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References"" |
| Record Nr. | UNINA-9910480950703321 |
|
Cwikel M (Michael), <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman
| Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman |
| Autore | Cwikel M (Michael), <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina |
510 s
515/.732 |
| Altri autori (Persone) | CwikelM <1948-> (Michael) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Banach lattices
Interpolation |
| ISBN | 1-4704-0385-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Interpolation of weighted Banach lattices""; ""0. Introduction""; ""1. Definitions, terminology and preliminary results""; ""2. The main results""; ""3. A uniqueness theorem""; ""4. Two properties of the K-functional for a couple of Banach lattices""; ""5. Characterizations of couples which are uniformly Calderon-Mityagin for all weights""; ""6. Some uniform boundedness principles for interpolation of Banach lattices""; ""7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions""; ""References""
""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower p�estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References"" |
| Record Nr. | UNINA-9910788850203321 |
|
Cwikel M (Michael), <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman
| Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman |
| Autore | Cwikel M (Michael), <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina |
510 s
515/.732 |
| Altri autori (Persone) | CwikelM <1948-> (Michael) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Banach lattices
Interpolation |
| ISBN | 1-4704-0385-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Interpolation of weighted Banach lattices""; ""0. Introduction""; ""1. Definitions, terminology and preliminary results""; ""2. The main results""; ""3. A uniqueness theorem""; ""4. Two properties of the K-functional for a couple of Banach lattices""; ""5. Characterizations of couples which are uniformly Calderon-Mityagin for all weights""; ""6. Some uniform boundedness principles for interpolation of Banach lattices""; ""7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions""; ""References""
""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower p�estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References"" |
| Record Nr. | UNINA-9910820407803321 |
|
Cwikel M (Michael), <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Interpolation
(69)
- Approximation theory (5)
- Function spaces (5)
- Numerical analysis (5)
- Spline theory (5)