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arXiv · 1112.0967

Approximation of classes of analytic functions by de la Vallee Poussin sums in uniform metric

A. S. Serdyuk·Ie. Yu. Ovsii·A. P. Musienko
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Abstract

In this paper asymptotic equalities are found for the least upper bounds of deviations in the uniform metric of de la Vallee Poussin sums on classes of 2π-periodic (ψ,β)-differentiable functions admitting an analytic continuation into the given strip of the complex plane. As a consequence, asymptotic equalities are obtained on classes of convolutions of periodic functions generated by the Neumann kernel and the polyharmonic Poisson kernel.

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A. S. Serdyuk, Ie. Yu. Ovsii, A. P. Musienko. 2011-12-05. Approximation of classes of analytic functions by de la Vallee Poussin sums in uniform metric. https://arxiv.org/abs/1112.0967

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