Uğur Ulusu

Lacunary statistical convergence of double sequences of sets

In this paper, we study the concepts of Wijsman statistical convergence, Wijsman lacunary statistical convergence, Wijsman lacunary convergence and Wijsman strongly lacunary convergence double sequences of sets and investigate the relationship among them.

On Asymptotically Lacunary Statistical Equivalent Set Sequences

This paper presents three definitions which are 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 in Patterson and Savas (2006).

On strongly I and I*-lacunary convergence of sequences of sets

In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and investigate the relationship between them.

Küme Dizilerinin İstatistiksel Lacunary Toplanabilirliği (011302) (9-14)

Bu calismada, kume dizileri icin Wijsman istatistiksel lacunary toplanabilme kavrami tanimlandi ve bu kavramin daha onceden Ulusu ve Nuray (2012) tarafindan verilen kume dizilerinin Wijsman lacunary istatistiksel yakinsaklik kavrami ile iliskisinden bahsedildi. Ayrica, bir kume dizisinin Wijsman istatistiksel lacunary toplanabilmesi ve Wijsman lacunary istatistiksel yakinsak olabilmesi icin gerek ve yeter sartlar verildi