Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials

We calculate the least upper bounds of pointwise approximations by interpolating trigonometric polynomials with equidistant nodes of interpolation for classes convolutions of $2\pi$-periodic functions, which belong to the unit ball of the space $L_2$, with an arbitrary square summable kernel.

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Bibliographic Details
Date:2016
Main Authors: Serdyuk, A. S., Sokolenko, I. V., Сердюк, А. С., Соколенко, І. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/219
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine