Lacunary Statistical Convergence of Order α for Generalized Difference Sequences in Linear Partial Metric Space

Authors

DOI:

https://doi.org/10.26713/cma.v15i3.2691

Keywords:

Difference sequence spaces, Lacunary statistical convergence, Partial metric space, Modulus function

Abstract

In the present study, with the use of generalized difference operator Δp, we have the notion of Δp-lacunary statistical φ-convergence and Δp-lacunary strongly φ-Cesàro summability of order α, in partial metric space (X,φ), where φ is a partial metric on X. We also analyse these notions with the fusion of modulus function. In addition we also establish some relationship between these concepts.

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Published

30-11-2024
CITATION

How to Cite

Kumar, M., Ritu, & Gupta, S. (2024). Lacunary Statistical Convergence of Order α for Generalized Difference Sequences in Linear Partial Metric Space. Communications in Mathematics and Applications, 15(3), 981–995. https://doi.org/10.26713/cma.v15i3.2691

Issue

Vol. 15 No. 3 (2024)

Section

Research Article

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