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Pachpatte type inequalities and their nabla unifications via convexity

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Abstract

Nabla unifications of the discrete and continuous Pachpatte type inequalities, which are convex generalizations of Hardy-Copson type inequalities, are established. These unifications also yield dual results, namely delta Pachpatte type inequalities. Some of the dual results and some discrete and continuous versions of nabla Pachpatte type inequalities have appeared in the literature for the first time.

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Author notes

  1. Zeynep Kayar and Billur Kaymakçalan have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Van Yüzüncü Yıl University, Van, 65080, Turkey

    Zeynep Kayar

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

    Billur Kaymakçalan

Authors
  1. Zeynep Kayar
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  2. Billur Kaymakçalan
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Correspondence to Zeynep Kayar.

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Communicated by K Sandeep.

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Kayar, Z., Kaymakçalan, B. Pachpatte type inequalities and their nabla unifications via convexity. Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00569-5

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