Lacunary statistical convergence of order \alpha for generalized difference sequences in partial metric space.

Authors

  • Ritu Baba Mastnath University Rohtak

Abstract

In the present study, with the use of generalized difference operator \Delta^p, we have the notion of \Delta^p-lacunary statistical \varphi-convergence and \Delta^p-lacunary strongly \varphi-Cesàro summability of order \alpha, in partial metric space (X,\varphi), where \varphi 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

20-02-2025

How to Cite

Ritu. (2025). Lacunary statistical convergence of order \alpha for generalized difference sequences in partial metric space. Communications in Mathematics and Applications, 15(3). Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2691

Issue

Section

Research Article