λ-statistical convergence of double sequences of functions via difference operators

Raj, Kuldip; Narrania, Devia; Mursaleen, Mohammad

doi:10.2478/aupcsm-2024-0006

Abstract

The paper aims to investigate λ-statistical convergence using modulus function and a generalized difference operator for double sequences of functions for order γ ∈ (0, 1]. Further, we prove that the statistical convergence in the newly formed sequence spaces is not well defined for γ > 1. Finally, we examine relevant inclusion relations concerning λ-statistical convergence and strongly λ-summable in the environment of the newly defined classes of double sequences of functions. Some interesting examples related to the examined results are also discussed in this paper.

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λ-statistical convergence of double sequences of functions via difference operators

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