FURTHER RESULTS ON CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES

Abstract

In this paper, we put forward the concept gradually (?, ?)-statistical convergence. We investigate inclusion relations between sets of gradually statistically convergent and gradually (?, ?)-statistically convergent double sequences. Additionally, we explore its connections with gradually statistical convergence, strongly Cesàro summability, and gradually strongly (V, ?, ?)-summability in gradual normed linear spaces (GNLS). © 2025 Elsevier B.V., All rights reserved.