Fibonacci statistical convergence and Korovkin type approximation theorems

Journal of inequalities and applications

Murat Kiriş¹ 

关键词: Korovkin type approximation theorems;    statistical convergence;    Fibonacci numbers;    Fibonacci matrix;    positive linear operator;    density;    11B39;    41A10;    41A25;    41A36;    40A30;    40G15;   

DOI  :  10.1186/s13660-017-1503-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.

【 授权许可】

CC BY