Fibonacci Numbers, Statistical Convergence and Applications

TL;DR

This paper introduces a new form of statistical convergence based on Fibonacci sequences and explores its fundamental properties, while also applying it to approximation theory.

Contribution

It defines Fibonacci-based statistical convergence and investigates its properties, applying it to approximation theory for the first time.

Findings

New Fibonacci statistical convergence concept introduced

Fundamental properties of Fibonacci statistical convergence examined

Applied to approximation theory

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, approximation theory worked as a application of the statistical convergence.