Approximation of Functions of Several Variables and Imbedding Theorems
Language: English
Published by Springer, Springer Gabler Nov 2011, 2011
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -1. Preparatory Information.- 1.1. The Spaces C( ) and Lp( ).- 1.2. Normed Linear Spaces.- 1.3. Properties of the Space Lp( ).- 1.4. Averaging of Functions According to Sobolev.- 1.5. Generalized Functions.- 2. Trigonometric Polynomials.- 2.1. Theorems on Zeros. Linear Independence.- 2.2. Important Examples of Trigonometric Polynomials.- 2.3. The Trigonometric Interpolation Polynomial of Lagrange.- 2.4. The Interpolation Formula of M. Riesz.- 2.5. The Bernstein's Inequality.- 2.6. Trigonometric Polynomials of Several Variables.- 2.7. Trigonometric Polynomials Relative to Certain Variables.- 3. Entire Functions of Exponential Type, Bounded on n.- 3.1. Preparatory Material.- 3.2. Interpolation Formula.- 3.3. Inequalities of Different Metrics for Entire Functions of Exponential Type.- 3.4. Inequalities of Different Dimensions for Entire Functions of Exponential Type.- 3.5. Subspaces of Functions of Given Exponential Type.- 3.6. Convolutions with Entire Functions of Exponential Type.- 4. The Function Classes W, H, B.- 4.1. The Generalized Derivative.- 4.2. Finite Differences and Moduli of Continuity.- 4.3. The Classes W, H, B.- 4.4. Representation of an Intermediate Derivate in Terms of a Derivative of Higher Order and the Function. Corollaries.- 4.5. More on Sobolev Averages.- 4.6. Estimate of the Increment Relative to a Direction.- 4.7. Completeness of the Spaces W, H, B.- 4.8. Estimates of the Derivative by the Difference Quotient.- 5. Direct and Inverse Theorems of the Theory of Approximation. Equivalent Norms.- 5.1. Introduction.- 5.2. AüDroximation Theorem.- 5.3. Periodic Classes.- 5.4. Inverse Theorems of the Theory of Approximations.- 5.5. Direct and Inverse Theorems on Best Approximations. Equivalent H-Norms.- 5.6. Definition of B-Classes with the Aid of0) over Functions of Exponential Type.- 8.8. Decomposition of a Regular Function into Series Relative to de la Vallée Poussin Sums.- 8.9. Representation of Functions of the Classes Bp r in Terms of de la Vallée Poussin Series. Null Classes (1 p ).- 8.10. Series Relative to Dirichlet Sums (1Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 432 pp. Englisch. …
Seller Inventory # 9783642657139
- Title
- Approximation of Functions of Several Variables and Imbedding Theorems
- Author
- S. M. Nikol'skii
- Publisher
- Springer, Springer Gabler Nov 2011
- Publication year
- 2011
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3642657133
- ISBN 13
- 9783642657139
- Item weight
- 651 grams
- Dimensions
- 235x155x24 mm
"Synopsis" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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