Work

Lacunary Statistical Convergence of Order \(\alpha\) for Generalized Difference Sequences in Linear Partial Metric Space

Year: 2024

Type: article

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.

Source: Communications in Mathematics and Applications

DOI: 10.26713/cma.v15i3.2691

Authors: Manoj Kumar, Ritu ., Sandeep Gupta

Institutions: Maharishi Markandeshwar University, Mullana, Baba Mastnath University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410699868

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