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arXiv · 1603.01891

Uniform approximations by Fourier sums on classes of generalized Poisson integrals

A. S. Serdyuk·T. A. Stepaniuk
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Abstract

We find asymptotic equalities for exact upper bounds of approximations by Fourier sums in uniform metric on classes of $2\pi$-periodic functions, representable in the form of convolutions of functions $\varphi$, which belong to unit balls of spaces $L_{p}$, 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.

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BibTeXRIS

A. S. Serdyuk, T. A. Stepaniuk. 2016-03-06. Uniform approximations by Fourier sums on classes of generalized Poisson integrals. https://arxiv.org/abs/1603.01891

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