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Relative uniform convergence of difference double sequence of positive linear functions

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Abstract

In this article we introduce the notion of relative uniform convergence of difference double sequence of positive linear functions. We define the difference double sequence spaces  \(_2\ell _\infty (\varDelta , ru),~ _2c(\varDelta , ru),~ _2c_0(\varDelta , ru), _2{c_0}^B(\varDelta , ru),~_2c^B(\varDelta , ru), _2c^R(\varDelta , ru), ~_2{c_0}^R(\varDelta , ru)\) and study their topological properties.

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  1. Department of Mathematics, Tripura University, Agartala, 799022, Tripura, India

    Kshetrimayum Renubebeta Devi & Binod Chandra Tripathy

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  1. Kshetrimayum Renubebeta Devi
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  2. Binod Chandra Tripathy
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Both the authors have equal contribution in the preparation of this article.

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Correspondence to Kshetrimayum Renubebeta Devi.

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Devi, K.R., Tripathy, B.C. Relative uniform convergence of difference double sequence of positive linear functions. Ricerche mat 72, 961–972 (2023). https://doi.org/10.1007/s11587-021-00613-0

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