On power series strong and statistical convergences for double sequences via Orlicz functions
Year: 2025
Type: article
Abstract: The present paper introduces the notions of strong P p 2 {P_{p}^{2}} -convergence and P p 2 {P_{p}^{2}} -statistical convergence for double sequences with respect to an Orlicz function. Based on these new notions of convergence, new double sequence spaces and some of their properties are given. Furthermore, certain inclusion relations are analyzed. Finally, we observe that, under proper choices, the analogous results can be obtained for modulus function.
Source: Georgian Mathematical Journal
Authors: Nilay Şahin Bayram, Sevda Yıldız
Institutions: Başkent University, Sinop University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413803122