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

Bipan Hazarika; Ayhan Esi

doi:10.2478/tmmp-2013-0025

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

Tatra Mountains Mathematical Publications

Volume 56 (2013): Issue 1 (November 2013)

By: Bipan Hazarika and Ayhan Esi

Open Access

|Feb 2014

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.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2013-0025 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 67 - 77

Published on: Feb 18, 2014

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

asymptotic equivalence,

statistical convergence,

λ-statistical convergence,

Wijsman convergence

Related subjects:

Mathematics,

General mathematics

© 2014 Bipan Hazarika, Ayhan Esi, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 56 (2013): Issue 1 (November 2013)