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Lebesgue inequalities for poisson integrals

We obtain estimates for the deviations of the Fourier partial sums on the sets of the Poisson integrals of functions from the spaceL p ,p≥1, that are expressed in terms of the values of the best approximations of such functions by trigonometric polynomials in the metric ofL p . We show that the es...

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Bibliographic Details
Date:	2000
Main Authors:	Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4474
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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