Geodesic
Strongly I–deferred Cesàro summablity and µ-deferred i–statistically convergence in amenable semigroups
Filomat, Tome 36 (2022) no. 14, p. 4839

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DOI

The primary objective of this study is to extend the concept of strongly I-deferred Cesàro summability and µ-deferred I-statistical convergence on amenable semigroups. Furthermore, under few conditions , we also establish some inclusion-based results. After that, we introduce the µ-deferred I *-statistical convergent, µ-deferred I-statistically pre-Cauchy, and µ-deferred I *-statistically pre-Cauchy functions in amenable semigroups and prove results based on connection among them. Certain counterexamples are also presented to support our results.
DOI : 10.2298/FIL2214839K
Classification : 40A35, 40D25
Keywords: Ideal convergence, µ-deferred I–statistically convergence, Pre-Cauchy condition, Sigma finite measure, µ-deferred density, Amenable semigroups 
Vakeel A Khan; Izhar Ali Khan; Bipan Hazarika; Zahid Rahman. Strongly I–deferred Cesàro summablity and µ-deferred i–statistically convergence in amenable semigroups. Filomat, Tome 36 (2022) no. 14, p. 4839 . doi: 10.2298/FIL2214839K
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     title = {Strongly {I{\textendash}deferred} {Ces\`aro} summablity and {\textmu}-deferred i{\textendash}statistically convergence in amenable semigroups},
     journal = {Filomat},
     pages = {4839 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214839K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214839K/}
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