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On some extremal problems in the theory of approximation of functions in the spaces $S^p,\quad 1 \leq p < \infty$

We consider and study properties of the smoothness characteristics $\Omega_m(f, t)_{S^p},\quad m \in \mathbb{N},\quad t > 0$, of functions $f(x)$ that belong to the space $S^p,\quad 1 \leq p < \infty$, introduced by Stepanets. Exact inequalities of the Jackson type are obtained, and th...

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Bibliographic Details
Date:	2006
Main Authors:	Vakarchuk, S. B., Shchitov, A. N., Вакарчук, С. Б., Щитов, А. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3455
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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