Fibonacci statistical convergence and Korovkin type approximation theorems

Journal of Inequalities and Applications

Ali Karaisa¹  Murat Kirişci² 

[1] Department of Mathematica-Computer Science, Necmettin Erbakan University;Department of Mathematical Education, Hasan Ali Yücel Education Faculty, Istanbul University;

关键词: Korovkin type approximation theorems;    statistical convergence;    Fibonacci numbers;    Fibonacci matrix;    positive linear operator;    density;   

DOI  :  10.1186/s13660-017-1503-z

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown