Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q)(σ m)

We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space S (p,q)(σ m), m > 3, in terms of the best approximations and modules of continuity. We consider constructive characteristics of functional classes defined by majorants of mo...

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Bibliographic Details
Date:2007
Main Authors: Lasuriya, R. A., Ласурия, Р. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3355
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal