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Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

UDC 517.5 We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities for $2\pi$-periodic functions $f$ that can be represented in the form of generalized Poisson integrals of&nbsp; functions $\varphi$ from the space $L_p,$ $1\leq p\leq \infty.$&nbsp;...

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Bibliographic Details
Date:	2023
Main Authors:	Serdyuk, A., Stepaniuk, T., Сердюк, Анатолій, Степанюк, Тетяна
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2023
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7523
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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