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KOLMOGOROV TYPE INEQUALITIES FOR FUNCTIONS ANALYTIC IN CIRCLE
DOI:10.13108/2026-18-1-88.png)
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


