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On interpolation approximation of differentiable operators in a Hilbert space

In a Hilbert space, we construct an interpolation approximation of the Taylor polynomial for differentiable operators. By using this approximation, we obtain estimates of accuracy for analytic operators that strengthen previously known results and for operators containing finitely many Fréchet deriv...

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Bibliographic Details
Date:	2006
Main Authors:	Popovicheva, T. N., Khlobystov, V. V., Поповичева, Т. Н., Хлобыстов, В. В.
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/3473
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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