Rough lacunary statistical convergence in neutrosophic normed spaces

Author:

Khan Vakeel A.1,Rahaman SK Ashadul1,Hazarika Bipan2,Alam Masood3

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh, India

2. Department of Mathematics, Gauhati University, Guwahati, India

3. Department of Mathematics and IT Center for Preparatory Studies, Sultan Qaboos University, Muscat, Sultanate of Oman

Abstract

In this paper, we address some imprecisions in the definition of neutrosophic normed space proposed by Kirişçi and Şimşek [16], Definition 4. We propose a modification to the definition and introduce the notion of rough lacunary statistical convergence in the neutrosophic normed space. Furthermore, we present the idea of rough lacunary statistical cluster points in neutrosophic normed spaces and investigate the relationship between the set of these cluster points and the set of rough lacunary statistical limit points of the aforementioned convergence.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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4. On Rough I2–lacunary Convergence of Double Sequences;Dündar;Journal of Inequalities and Applications,2018

5. Densities and summability;Allen;Pacific Journal of Mathematics,1981

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