论伯格曼空间 B2 中若干类函数的同时逼近

IF 0.5 Q3 MATHEMATICS

Russian Mathematics Pub Date : 2024-09-05 DOI:10.3103/s1066369x24700452

M. Sh. Shabozov, A. A. Shabozova

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引用次数: 0

摘要

摘要本研究考虑了如何找到在单位盘中解析且属于伯格曼空间 \({{B}_{2}}\)的几类函数的最佳同步多项式近似的上峰。所指出的函数类是由最高导数的 \(m\)th-order moduliity 的平均值定义的，最高导数的连续性从上而下被一些 majorant \(\Phi \)所约束。

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On Simultaneous Approximation of Certain Classes of Functions in the Bergman Space B2

Abstract

The problem of finding the supremums of the best simultaneous polynomial approximations of some classes of functions analytic in the unit disk and belonging to the Bergman space \({{B}_{2}}\) is considered. The indicated function classes are defined by the averaged values of the \(m\)th-order moduli of continuity of the highest derivative bounded from above by some majorant \(\Phi \).

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来源期刊

Russian Mathematics MATHEMATICS-

CiteScore

0.90

自引率

25.00%

发文量

期刊介绍： Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.