The Exact Inequalities of Jackson–Stechkin Type and the Width Values for Some Classes of Functions in L₂ Space

The Exact Inequalities of Jackson–Stechkin Type and the Width Values for Some Classes of Functions in L₂ Space

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In this paper, some exact inequalities between the best approximations of periodic differentiable functions with trigonometric polynomials and generalized moduli of the continuity Ωm of m-th order in L₂[0, 2π] space are found. Similar averaged characteristics of function smoothness in studying the i...

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Bibliographic Details
Main Author: M. R. Langarshoev
Format: Article
Language:English
Published: Yaroslavl State University 2013-10-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
best approximation
generalized modulus of continuity
extremal characteristics
n-widths
Online Access:https://www.mais-journal.ru/jour/article/view/176

Internet

https://www.mais-journal.ru/jour/article/view/176

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