Geodesic
On statistical convergence in modular vector spaces
Fatih Nuray1 ; Fatih Nuray
1Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 4, pp. 377-391 
Fatih Nuray; Fatih Nuray. On statistical convergence in modular vector spaces. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 4, pp. 377-391. http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a7/
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     author = {Fatih Nuray and Fatih Nuray},
     title = { On statistical convergence in modular vector spaces},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {377--391},
     year = {2022},
     volume = {91},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

This paper extends the statistical convergence of real or complex numbers to the elements of a modular vector space equipped with a convex modular. In this context, we investigate the relation between the statistical convergence, statistical Cauchy condition, strong Cesàro summability, and $\rho$-convergence. This leads us to an initial analysis of the Tauberian conditions for the statistical convergence in the modular sense. We touch on an application to the fixed point theory via the ergodic theory.