Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity
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Date
2023-05
Authors
Kayar, Zeynep
Kaymakçalan, Billur
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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. © 2023, Foundation for Scientific Research and Technological Innovation.
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Keywords
Convexity, Diamond-Alpha Time Scale Calculus, Hardy’s Inequality, Pachpatte’s Inequality
Citation
Kayar, Z.; Kaymakçalan, B. (2023). "Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity", Differential Equations and Dynamical Systems.