Rate of convergence of Fourier series on the classes of $\overline{\psi}$-integrals

We introduce the notion of $\overline{\psi}$-integrals of 2π-periodic summable functions f, f ε L, on the basis of which the space L is decomposed into subsets (classes) $L^{\overline{\psi}}$. We obtain integral representations of deviations of the trigonometric polynomials $U_{n(f;x;Λ)}$ generated...

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Bibliographic Details
Date:1997
Main Authors: Stepanets, O. I., Степанец, А. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5102
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal