Inverse theorems on approximation of periodic functions

We obtain new inverse theorems on the approximation of periodic functions $f(·)$ that establish conditions for the existence of their $(ψ, β)$-derivatives. These theorems also guarantee a certain smoothness of these derivatives.

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Bibliographic Details
Date:1995
Main Authors: Stepanets, O. I., Степанец, А. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5527
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal