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Best mean-square approximation of functions defined on the real axis by entire functions of exponential type

Exact constants in Jackson-type inequalities are calculated in the space $L_2 (\mathbb{R})$ in the case where the quantity of the best approximation $\mathcal{A}_{\sigma}(f)$ is estimated from above by the averaged smoothness characteristic $\Phi_2(f, t) = \cfrac 1t \int^t_0||\Delta^2_h(f)||dh$. We...

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Bibliographic Details
Date:	2012
Main Authors:	Vakarchuk, S. B., Вакарчук, С. Б.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2601
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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