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Methods of Approximation Theory
by A. I. Stepanets (Author),
Brill Academic Pub (Publisher)
Product Specifications
Book Description
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