Asymptotically Lacunary Statistical Equivalence of Double Sequences of Sets

Demonstratio Mathematica

Patterson R. F.¹  Dündar E.²  Nuray F.² 

[1] DEPARMENT OF MATHEMATICS AND STATISTICS NORTH FLORIDA UNIVERSITY JACKSONVILLE, FL., USA;DEPARMENT OF MATHEMATICS FACULTY OF SCIENCE AND LITERATURE AFYON KOCATEPE UNIVERSITY 03200, AFYONKARAHISAR, TURKEY;

关键词: asymptotic equivalence;    Wijsman convergence;    double sequence of sets;    lacunary sequence;    statistical convergence;   

DOI  :  10.1515/dema-2016-0016

来源: DOAJ

【 摘 要 】

The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences of sets were studied by Ulusu and Nuray [24]. In this paper, we get analogous results for double sequences of sets.

【 授权许可】

Unknown