Pachpatte type inequalities and their nabla unifications via convexity

Zeynep Kayar () and Billur Kaymakçalan ()
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Zeynep Kayar: Van Yüzüncü Yıl University
Billur Kaymakçalan: Çankaya University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 4, 1624-1639

Abstract: 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.

Keywords: Time scale calculus; Hardy’s inequality; Copson’s inequality; Pachpatte’s inequality; Convexity; 34N05; 26D10; 26D15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-024-00569-5

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