On Nörlund I2-lacunary statistical convergence of double sequences in intuitionistic fuzzy normed spaces

Abstract

Investigating the concepts of Nörlund I<inf>2</inf>-lacunary statistical convergence and extremely intuitionistic Nörlund I<inf>2</inf>-lacunary convergence of double sequence in intuitionistic fuzzy normed spaces (IFNS) is the goal of this article. Then, we introduce the concepts of Nörlund strongly I<inf>2</inf> *}-lacunary convergence, Nörlund strongly I<inf>2</inf>-lacunary Cauchy, and Nörlund strongly I<inf>2</inf> *}-lacunary Cauchy double sequences in IFNS and get astounding results. © 2024 Elsevier B.V., All rights reserved.