Approximation properties of Bernstein singular integrals in variable exponent Lebesgue spaces on the real axis
Classical Analysis and ODEs
2021-09-06 v3
Abstract
In generalized Lebesgue spaces L^{p(.)} with variable exponent p(.) defined on the real axis, we obtain several inequalities of approximation by integral functions of finite degree. Approximation properties of Bernstein singular integrals in these spaces are obtained. Estimates of simultaneous approximation by integral functions of finite degree in L^{p(.)} are proved.
Keywords
Cite
@article{arxiv.1210.4714,
title = {Approximation properties of Bernstein singular integrals in variable exponent Lebesgue spaces on the real axis},
author = {Ramazan Akgün},
journal= {arXiv preprint arXiv:1210.4714},
year = {2021}
}
Comments
20 pages, submitted