Jackson-Type Inequalities for the Special Moduli of Continuity on the Entire Real Axis and the Exact Values of Mean $ν$ - Widths for the Classes of Functions in the Space $L_2 (ℝ)$

The exact values of constants are obtained in the space $L_2 (ℝ)$ for the Jackson-type inequalities for special moduli of continuity of the $k$ th order defined by the Steklov operator $S_h (f)$ instead of the translation operator $T_h (f)$ in the case of approximation by entire functions of exponen...

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Bibliographic Details
Date:2014
Main Authors: Vakarchuk, S. B., Вакарчук, С. Б.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2175
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal