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arXiv · 1703.09048

Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients

A. S. Serdyuk·I. V. Sokolenko
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Abstract

We calculate the least upper bounds of pointwise and uniform approximations for classes of $2\pi$-periodic functions expressible as convolutions of an arbitrary square summable kernel with functions, which belong to the unit ball of the space $L_2$, by linear polynomial methods constructed on the basis of their Fourier-Lagrange coefficients.

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A. S. Serdyuk, I. V. Sokolenko. 2017-03-27. Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients. https://arxiv.org/abs/1703.09048

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