POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

descriptionPublicationkeyboard_double_arrow_right Article 20 Oct 2015Publisher:Karelian Research Centre of the Russian Academy of SciencesJournal:Proceedings of the Karelian Research Centre of the Russian Academy of Sciences (issn: 1997-3217, eissn: 2312-4504,

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Authors: Yury Abakumov; Victor Banin;

doi: 10.17076/mat139

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

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Abstract

The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure. The method of retraction points into some cone of Banach space is used to define this functional.

Related Organizations

Transbaikal State University
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Financial University
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Keywords

linear operators, approximation sequence, Science, Q, cone

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