On the Korovkin approximation theorem and Volkov-type theorems

Journal of inequalities and applications

Nihan Uygun¹ 

关键词: positive linear operator;    Korovkin theorem;    Volkov-type theorem;    modules of continuity;    compact Hausdorff spaces;   

DOI  :  10.1186/1029-242X-2014-89

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this short paper, we give a generalization of the classical Korovkin approximation theorem (Korovkin in Linear Operators and Approximation Theory, 1960), Volkov-type theorems (Volkov in Dokl. Akad. Nauk SSSR 115:17-19, 1957), and a recent result of (Taşdelen and Erençin in J. Math. Anal. Appl. 331(1):727-735, 2007). MSC:41A36, 41A25.

【 授权许可】

CC BY