On asymptotically lacunary statistical equivalent set sequences. (English) Zbl 1285.40002
Summary: This paper presents three definitions which are a natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems by F. Patterson and E. Savaş [Thai J. Math. 4, No. 2, 267–272 (2006; Zbl 1155.40301)].
MSC:
| 40A35 | Ideal and statistical convergence |
Keywords:
asymptotic equivalence; statistical convergence; lacunary statistical convergence; Wijsman convergenceCitations:
Zbl 1155.40301References:
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