What does this research mean for the field?

Generalized double Zweier lacunary convergent sequence spaces can be constructed via sequences of Orlicz functions over n-normed spaces, exhibiting specific topological properties and inclusion relations. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To explore generalized lacunary strong Zweier convergent sequence spaces using Orlicz functions and analyze their properties.

April 1, 2026Open Access

Generalized lacunary strong Zweier convergent sequence spaces

Key Points

To explore generalized lacunary strong Zweier convergent sequence spaces using Orlicz functions and analyze their properties.
Introduced generalized double Zweier lacunary convergent sequence spaces
Studied topological properties of these spaces
Investigated inclusion relations between different sequence spaces
Analyzed double lacunary statistical Zweier convergence
Established new sequence spaces based on Orlicz functions
Identified significant topological properties
Outlined inclusion relations among various generalized spaces
Demonstrated the importance of double lacunary convergence in n-normed contexts

Abstract

In this paper we introduce generalized double Zweier lacunary convergent sequence spaces via sequence of Orlicz functions over n-normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces. Furthermore, we study the concept of double lacunary statistical Zweier convergence over n-normed spaces.

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