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KOLMOGOROV TYPE INEQUALITIES FOR FUNCTIONS ANALYTIC IN CIRCLE

delete2026-03-01
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PRE
AI
S
Shabozov, M. sh. *
K
Karimzoda, R. A.
DOI:10.13108/2026-18-1-88delete
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Abstract

Abstract

En 中文
In the paper we obtain a series of Kolmogorov type inequalities for functions analytic in a circle of an arbitrary radius R and belonging to the Hardy space H-q,H-R (1 ( q <= infinity, R > 0). We provide some applications of these inequalities in extremal problem of best polynomial approximation.
Keywords:
Kolmogorov type inequalities
best polynomial approximation
intermediate derivatives
supremum
Hardy space

Journal

U
Ufa Mathematical Journal
IF:
0.4
Papers:
22
Citations:
0

Organization

Tajik National University cover
Tajik National University
Scholars:
41
Papers: 30
Citations: 24