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Bennett–Leindler Type Inequalities for Nabla Time Scale Calculus

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Abstract

In this study, we generalize the converse of Hardy and Copson inequalities, which are known as Bennett and Leindler type inequalities, for nabla time scale calculus. This generalization allows us not only to unify all the related results existing in the literature for an arbitrary time scale but also to obtain new results which are analogous to the results of the delta time scale calculus.

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Authors and Affiliations

  1. Department of Mathematics, Van Yuzuncu Yil University, 65080, Van, Turkey

    Zeynep Kayar

  2. Department of Mathematics, Çankaya University, 06810, Ankara, Turkey

    Billur Kaymakçalan

  3. Department of Mathematics, Ondokuz Mayıs University, 55200, Samsun, Turkey

    Neslihan Nesliye Pelen

Authors
  1. Zeynep Kayar
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  2. Billur Kaymakçalan
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  3. Neslihan Nesliye Pelen
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Correspondence to Zeynep Kayar.

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Kayar, Z., Kaymakçalan, B. & Pelen, N.N. Bennett–Leindler Type Inequalities for Nabla Time Scale Calculus. Mediterr. J. Math. 18, 14 (2021). https://doi.org/10.1007/s00009-020-01674-5

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  • DOI: https://doi.org/10.1007/s00009-020-01674-5

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