q− Fibonacci Statistical Convergence

Abstract

In this paper, we use the $q-$Fibonacci band matrix $\widehat{F}_{q}=\left(\widehat{F}_{nk}(q)\right)$ to introduce the notions of $q-$Fibonacci summability, $q-$Fibonacci statistical convergence, strongly $\widehat{F}_{q}[p]-$Ces\'{a}ro summability and give some inclusion relations about these concepts. Mathematics Subject Classification (2010). 40G15. 40C05. 46A35. 42B08.