Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus

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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.

Description

Kayar, Zeynep/0000-0002-8309-7930

Keywords

Nabla Derivative, Hardy Inequality, Copson Inequality, Bennett Inequality, Leindler Inequality, Bennett inequality, nabla derivative, Hardy inequality, Real analysis on time scales or measure chains, Copson inequality, Leindler inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals

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0101 mathematics, 01 natural sciences

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.

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18

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Scopus : 16

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