Fibonacci $f$-Statistical Convergence and Korovkin Type Approximation Theorems

Abstract

This article presents the notion of Fibonacci statistical convergence using density by moduli, this indeed extends the concept of Fibonacci statistical convergence which we call as Fibonacci $f$-statistical convergence. The primary focus of this study is to prove the Korovkin type theorem of Boyanov and Veselinov using Fibonacci $f$-statistical convergence. A connection between Fibonacci statistical convergence and Fibonacci $f$-statistical convergence is also established.