Hardy-Copson type inequalities for nabla time scale calculus

Authors: ZEYNEP KAYAR, BİLLUR KAYMAKÇALAN

Abstract: This paper is devoted to the nabla unification of the discrete and continuous Hardy-Copson type inequalities. Some of the obtained inequalities are nabla counterparts of their delta versions while the others are new even for the discrete, continuous, and delta cases. Moreover, these dynamic inequalities not only generalize and unify the related ones in the literature but also improve them in the special cases.

Keywords: Nabla time scale calculus, Hardy's inequality, Copson's inequality

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