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Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$

We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions $f(t)$ monotone on $[a, b]$ with a convex majorant of the modulus of continuity, provided that $|f(b) − f(a)| = L > 0$.

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Bibliographic Details
Date:	1997
Main Authors:	Busarova, T. N., Бусарова, Т. Н.
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/5095
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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