Methods of Approximation Theory
Methods of Approximation Theory
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Book Summary
This monograph can be regarded as a result of the activity ofmanymathematicians of the 20th century in the field ofclassicalFourier series and the theory of approximation ofperiodicfunctions, beginning with H. Lebesgue, D. Jackson, and S.N.Bernstein. The key point of the monograph is the classificationofperiodic functions introduced by the author and developedmethodsthat enable one to solve, within the framework of acommonapproach, traditional problems of approximation theory forlargecollections of periodic functions, including, as particularcases,the well-known Weyl--Nagy and Sobolev classes as well asclasses offunctions defined by convolutions with arbitrary summablekernels.The developed methods enable one to solve problems ofapproximationtheory not only in the periodic case but also in thecase whereobjects of approximation are
ISBN-13
9789067644273
Language
English
Binding
Hard Bound
Publisher
Brill Academic Pub
Publishing Date
2005-09-07
Total Pages
938

Methods of Approximation Theory

by A. I. Stepanets (Author),
Brill Academic Pub (Publisher)
fictionfantasyyoung adultaward winning

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Product Specifications
Book Summary
This monograph can be regarded as a result of the activity ofmanymathematicians of the 20th century in the field ofclassicalFourier series and the theory of approximation ofperiodicfunctions, beginning with H. Lebesgue, D. Jackson, and S.N.Bernstein. The key point of the monograph is the classificationofperiodic functions introduced by the author and developedmethodsthat enable one to solve, within the framework of acommonapproach, traditional problems of approximation theory forlargecollections of periodic functions, including, as particularcases,the well-known Weyl--Nagy and Sobolev classes as well asclasses offunctions defined by convolutions with arbitrary summablekernels.The developed methods enable one to solve problems ofapproximationtheory not only in the periodic case but also in thecase whereobjects of approximation are
Book Specifications
ISBN-13
9789067644273
Language
English
Binding
Hard Bound
Publisher
Brill Academic Pub
Publishing Date
2005-09-07
Total Pages
938