q,h-Opial-Type Inequalities via Hahn Operators

Ammara Nosheen, Anum Saba, Khuram Ali Khan, Michael Kikomba Kahungu and Ewa Pawluszewicz

Discrete Dynamics in Nature and Society, 2022, vol. 2022, 1-12

Abstract: In this paper, the well-known Hölder’s inequality is proved via Hahn differential and integral operators, which is a helping tool to establish some Opial-type inequalities via Hahn’s calculus. The weight functions involved in these Opial-type inequalities are positive and monotone. In search of applications, some new as well as some existing inequalities in the literature are obtained by applying suitable limits.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2650126

DOI: 10.1155/2022/2650126

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