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On certain generalized summability methods of order convergence in (l)-groups

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Abstract

We introduce the notion of generalized relative order convergence in (l)-groups by using generalized density. We prove some basic results including a Cauchy-type criterion. Furthermore we present an idea of ideal order convergence of sequences and study some of its properties by using the mathematical tools of the theory of (l)-group

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Acknowledgements

Sagar Chakraborty is thankful to the Council of Scientific and Industrial Research, HRDG, India for granting the Senior Research Fellowship during the tenure of which this work was done.

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Authors and Affiliations

  1. Department of Mathematics, Diamond Harbour Women’s University, Kolkata, 743368, West Bengal, India

    Sudip Kumar Pal

  2. Department of Mathematics, Jadavpur University, Kolkata, 700032, West Bengal, India

    Sagar Chakraborty

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  1. Sudip Kumar Pal
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  2. Sagar Chakraborty
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Correspondence to Sudip Kumar Pal.

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Communicated by Samy Ponnusamy.

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Pal, S.K., Chakraborty, S. On certain generalized summability methods of order convergence in (l)-groups. J Anal 30, 1045–1058 (2022). https://doi.org/10.1007/s41478-022-00392-3

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  • DOI: https://doi.org/10.1007/s41478-022-00392-3

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