A Sharp Constant in the Estimation of the Error of the Approximation of Classes of Differentiable Functions by the Second-Order Cesáro Means

Siberian Advances in Mathematics Pub Date : 2022-09-02 DOI:10.1134/s1055134422030051

O. G. Rovenskaya

引用次数: 0

Abstract

We consider the problem of finding a sharp constant in the approximation of continuous functions by linear methods. The best constant is obtained for the approximation by the second-order Cesàro means of classes of Lipschitz continuous periodic functions.

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二阶Cesáro均值法估计可微函数类近似误差中的一个尖锐常数

摘要考虑了用线性方法逼近连续函数时求尖锐常数的问题。利用Lipschitz连续周期函数类的二阶Cesàro均值，得到了逼近的最佳常数。

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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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.