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Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity

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Abstract

Diamond-alpha Pachpatte type dynamic inequalities, which are convex generalizations of diamond-alpha Hardy−Copson type inequalities, are established to harmonize and bind foregoing related results in the delta and nabla calculi. A noteworthy contribution of the paper is that new diamond-alpha dynamic inequalities as well as their delta and nabla versions are derived by making use of convexity.

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

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

    Zeynep Kayar

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

    Billur Kaymakçalan

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  1. Zeynep Kayar
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Kayar, Z., Kaymakçalan, B. Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity. Differ Equ Dyn Syst (2023). https://doi.org/10.1007/s12591-023-00640-3

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