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

被引：0
|
作者：
Rovenskaya O.G. [1 ]
机构：
[1] Donbass State Engineering Academy, Kramatorsk
来源：
Siberian Advances in Mathematics | 2022年 / 32卷 / 3期
关键词：
Cesáro means; Lipschitz class; sharp inequality;
D O I：
10.1134/S1055134422030051
中图分类号：
学科分类号：
摘要：
Abstract: We consider the problem of finding a sharp constant in the approximation of continuousfunctions by linear methods. The best constant is obtained for the approximationby the second-order Cesàro means of classes of Lipschitz continuous periodic functions. © 2022, Pleiades Publishing, Ltd.
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页码：229 / 235
页数：6
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