Inequalities of Jackson-Stechkin type for elements of Hilbert space (in Russian)
Functional Analysis
2017-03-16 v1
Abstract
In this paper we introduced a new characteristics of the elements of a Hilbert space - generalized moduli of continuity and obtain new exact inequalities of Jackson - Stechkin type with these moduli of continuity for the approximation of elements of a Hilbert space. These results include many well-known inequalities for approximation of periodic functions by trigonometric polynomials, approximation of non-periodic functions by entire functions of exponential type, similar results for almost periodic functions, and others. A number of results is new even in these classic situations.
Keywords
Cite
@article{arxiv.1703.04655,
title = {Inequalities of Jackson-Stechkin type for elements of Hilbert space (in Russian)},
author = {Vladyslav Babenko and Svitlana Konareva},
journal= {arXiv preprint arXiv:1703.04655},
year = {2017}
}
Comments
in Russian