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On the best approximations and rate of convergence of decompositions in the root vectors of an operator

We establish upper bounds of the best approximations of elements of a Banach space B by the root vectors of an operator $A$ that acts in B. The corresponding estimates of the best approximations are expressed in terms of a K-functional associated with the operator A. For the operator of differentiat...

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Bibliographic Details
Date:	1997
Main Authors:	Radzievskii, G. V., Радзиевский, Г. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5060
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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