Sliding window convergence in intuitionistic fuzzy normed spaces for measurable functions

Abstract

In 2019, Mursaleen and Mohiuddine introduced the concept of lacunary statistical convergence for sequences on intuitionistic fuzzy normed spaces. The goal of this article is to present Mursaleen and Mohiuddine's work into the class of nonnegative real-valued functions. To achieve this, we present the notion of sliding window methods for measurable real-valued functions in the interval [0, infinity) on intuitionistic fuzzy normed spaces. Additionally, we establish a series of theorems along with examples via summability methods.