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Some I-convergent sequence spaces defined by Orlicz functions

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Abstract

In this article we introduce the sequence spaces c I(M), c I0 (M), m I(M) and m I0 (M) using the Orlicz function M. We study some of the properties like solid, symmetric, sequence algebra, etc and prove some inclusion relations.

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Authors and Affiliations

  1. Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati, 781 035, Assam, India

    Binod Chandra Tripathy

  2. Department of Mathematics, Rajiv Gandhi University, Doimukh, Itanagar, 791 112, Arunachal Pradesh, India

    Bipan Hazarika

Authors
  1. Binod Chandra Tripathy
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  2. Bipan Hazarika
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Correspondence to Binod Chandra Tripathy.

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Tripathy, B.C., Hazarika, B. Some I-convergent sequence spaces defined by Orlicz functions. Acta Math. Appl. Sin. Engl. Ser. 27, 149–154 (2011). https://doi.org/10.1007/s10255-011-0048-z

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  • DOI: https://doi.org/10.1007/s10255-011-0048-z

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