Lebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals
Classical Analysis and ODEs
2018-04-17 v1
Abstract
For functions from the set of generalized Poisson integrals , , we obtain upper estimates for the deviations of Fourier sums in the uniform metric in terms of the best approximations of the generalized derivatives of functions of this kind by trigonometric polynomials in the metric of the spaces . Obtained estimates are asymptotically best possible.
Keywords
Cite
@article{arxiv.1804.05722,
title = {Lebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals},
author = {Anatoly Serdyuk and Tetiana Stepaniuk},
journal= {arXiv preprint arXiv:1804.05722},
year = {2018}
}