<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The concept of Wijsman statistical convergence was defined by [Nuray, F.-Rhoades, B. E.: Statistical convergence of sequences of sets, Fasc. Math. <bold>49 </bold>(2012), 1-9]. In this paper we present three definitions which are a natural combination of the definition of asymptotic equivalence, statistical convergence, generalized statistical convergence and Wijsman convergence. In addition, we also present asymptotically equivalent sequences of sets in sense of Wijsman and study some properties of this concept.</p></abstract>

The concept of Wijsman statistical convergence was defined by [Nuray, F.-Rhoades, B. E.: Statistical convergence of sequences of sets, Fasc. Math. 49 (2012), 1-9]. In this paper we present three definitions which are a natural combination of the definition of asymptotic equivalence, statistical convergence, generalized statistical convergence and Wijsman convergence. In addition, we also present asymptotically equivalent sequences of sets in sense of Wijsman and study some properties of this concept.

ON λ-ASYMPTOTICALLY WIJSMAN GENERALIZED STATISTICAL CONVERGENCE OF SEQUENCES OF SETS

Tatra Mountains Mathematical Publications

The concept of Wijsman statistical convergence was defined by [Nuray, F.-Rhoades, B. E.: Statistical convergence of sequences of sets, Fasc. Math. 49 (2012),...

ON λ-ASYMPTOTICALLY WIJSMAN GENERALIZED STATISTICAL CONVERGENCE OF SEQUENCES OF SETS

Published Online: Feb 18, 2014

Page range: 67 - 77

DOI: https://doi.org/10.2478/tmmp-2013-0025

Keywords
asymptotic equivalence, statistical convergence, λ-statistical convergence, Wijsman convergence

This content is open access.

ON λ-ASYMPTOTICALLY WIJSMAN GENERALIZED STATISTICAL CONVERGENCE OF SEQUENCES OF SETS

Published Online: Feb 18, 2014

Page range: 67 - 77

DOI: https://doi.org/10.2478/tmmp-2013-0025

Keywordsasymptotic equivalence, statistical convergence, λ-statistical convergence, Wijsman convergence

This content is open access.

Keywords
asymptotic equivalence, statistical convergence, λ-statistical convergence, Wijsman convergence