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Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes

We obtain exact Jackson-type inequalities in the case of the best mean square approximation by entire functions of finite degree $≤ σ$ on a straight line. For classes of functions defined via majorants of averaged smoothness characteristics $Ω_1(f, t ),\; t > 0$, we determine the exact values...

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Bibliographic Details
Date:	2010
Main Authors:	Vakarchuk, S. B., Doronin, V. G., Вакарчук, С. Б., Доронин, В. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2935
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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