Zweier Ideal Convergent Sequence Spaces Defined by Orlicz Functions

Volume 8, Issue 3, pp 307-318 http://dx.doi.org/10.22436/jmcs.08.03.13

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Authors

B. Hazarika - Department of Mathematics, Rajiv Gandhi University, Doimukh-791112, Arunachal Pradesh, INDIA. K. Tamang - Department of Mathematics, North Eastern Regional Institute of Science & Technology, Nirjuli-791109, Arunachal Pradesh, INDIA. B. K. Singh - Department of Mathematics, North Eastern Regional Institute of Science & Technology, Nirjuli-791109, Arunachal Pradesh, INDIA.

Abstract

An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In this article we introduce ideal convergent sequence spaces using Zweier transform and Orlicz function. We study some topological and algebraic properties. Further we prove some inclusion relations related to these new spaces.

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Keywords

• Ideal
• I-convergence
• Zweier sequence
• Orlicz function.

MSC

•  46A45

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