Uniform approximations by Fourier sums on classes of generalized Poisson integrals
Classical Analysis and ODEs
2016-03-08 v1
Abstract
We find asymptotic equalities for exact upper bounds of approximations by Fourier sums in uniform metric on classes of -periodic functions, representable in the form of convolutions of functions , which belong to unit balls of spaces , with generalized Poisson kernels. For obtained asymptotic equalities we introduce the estimates of remainder, which are expressed in the explicit form via the parameters of the problem.
Keywords
Cite
@article{arxiv.1603.01891,
title = {Uniform approximations by Fourier sums on classes of generalized Poisson integrals},
author = {A. S. Serdyuk and T. A. Stepaniuk},
journal= {arXiv preprint arXiv:1603.01891},
year = {2016}
}
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31 pages