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

2017/03/27 by Serdyuk, A. S., Sokolenko, I. V.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.09048

Abstract

We calculate the least upper bounds of pointwise and uniform approximations for classes of 2π-periodic functions expressible as convolutions of an arbitrary square summable kernel with functions, which belong to the unit ball of the space L₂, by linear polynomial methods constructed on the basis of their Fourier-Lagrange coefficients.

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