Approximation of cosine functions and Rogosinski type operators

被引：0

作者：

Campiti, Michele ^{[1
]}

Mazzone, Giusy ^{[1
]}

Tacelli, Cristian ^{[1
]}

机构：

[1] Univ Salento, Dept Math, POB 193, I-73100 Lecce, Italy

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2011年 / 56卷 / 02期

关键词：

Convergence of iterates of trigonometric polynomials; Rogosinski operators; representation of cosine functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some quantitative estimates of the convergence of the iterates of some Rogosinski type operators to their associated cosine functions. We also consider a general cosine counterpart of the quantitative version of Trotter's theorem on the approximation of C-0-semigroups.

引用

页码：261 / 272

页数：12

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