Geodesic
Certain aspects of rough I-statistical convergence in probabilistic n-normed space
Filomat, Tome 37 (2023) no. 24, p. 8113

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DOI

The main aim of this investigation is to introduce rough I-statistical convergence in probabilistic n-normed spaces (briefly Pr-n-spaces). We establish some results on rough I-statistical convergence and also we introduce the notion of rough I-statistical limit set in Pr-n-spaces and discuss some topological aspects on this set. Moreover, we define rough I-lacunary statistical convergent, rough lacunary I-convergent, rough lacunary I-Cauchy and rough lacunary I *-convergent sequences in Pr-n-spaces. We obtain several significant results related to these notions.
DOI : 10.2298/FIL2324113T
Classification : 40A05, 40A35
Keywords: statitical convergence, I-convergence, probabilistic normed space, n-norm, lacunary sequence, rough convergence 
Binod Chandra Tripathy; Ömer Kişi; Mehmet Gürdal. Certain aspects of rough I-statistical convergence in probabilistic n-normed space. Filomat, Tome 37 (2023) no. 24, p. 8113 . doi: 10.2298/FIL2324113T
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     title = {Certain aspects of rough {I-statistical} convergence in probabilistic n-normed space},
     journal = {Filomat},
     pages = {8113 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324113T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324113T/}
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