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On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$

We consider certain modified interpolation polynomials for functions from the space $L_p \;[0, 2π], 1 ≤ p ≤ ∞$. An estimate for the rate of approximation of an original function f by these polynomials in terms of its modulus of continuity is obtained. We establish that these polynomials converge alm...

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Bibliographic Details
Date:	2004
Main Authors:	Metelichenko, A.B., Метеличенко, А. Б.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3728
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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