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

IF 0.5 Q3 MATHEMATICS

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

M. Sh. Shabozov, A. A. Shabozova

引用次数: 0

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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论伯格曼空间 B2 中若干类函数的同时逼近

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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