Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus

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Date

2021-02

Authors

Kayar, Zeynep
Kaymakcalan, Billur
Pelen, Neslihan Nesliye

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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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Keywords

Nabla Derivative, Hardy Inequality, Copson Inequality, Bennett Inequality, Leindler ınequality

Citation

Kayar, Zeynep; Kaymakcalan, Billur; Pelen, Neslihan Nesliye (2021). "Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus", Mediterranean Journal of Mathematics, Vol. 18, No. 1.