On the best approximation of analytic in a disk functions in the weighted Bergman space <i>B</i><sub>2,μ</sub>

Author:

Langarshoev M. R1

Affiliation:

1. Civil Defence Academy of EMERCOM of Russia

Abstract

Abstract. We obtain sharp inequalities between the best approximations of analytic in the unit disk functions by algebraic complex polynomials and the moduli of continuity of higher-order derivatives in the Bergman weighted space B2,μ. Based on these inequalities, the exact values of some known n-widths of classes of analytic in the unit disk functions are calculated.

Publisher

Kazan Federal University

Reference33 articles.

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