Lacunary statistical summability of sequences of sets

In this paper we deﬁne the WS_θ-analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other summability methods which are deﬁned in this paper. After giving new deﬁnitions for convergence, we prove a result comparing them. In addition, we give the relationship between Wijsman lacunary statistical convergence and Hausdorf lacunary statistical convergence

Country

Turkey

Related Organizations

Afyon Kocatepe University
Turkey
Afyon Kocatepe Üniversitesi
Turkey

Keywords

Engineering, Wijsman convergence, Statistical convergence, Lacunary sequence, Mühendislik, Ces`aro summability, Statistical convergence;lacunary sequence;sequence of sets;Wijsman convergence;Hausdor convergence;Cesaro summability;almost convergence, Sequence of sets, Hausdorﬀ convergence, Almost convergence

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