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Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals

We obtain asymptotic equalities for upper bounds of the deviations of operators generated by λ-methods (defined by a collection Λ={λσ(·)} of functions continuous on [0; ∞) and depending on a real parameter σ) on classes of (ψ, β)-differentiable functions defined on the real axis.

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Bibliographic Details
Date:	2004
Main Authors:	Zhyhallo, T. V., Kharkevych, Yu. I., Жигалло, Т. В., Харкевич, Ю. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3840
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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