Refined Hardy-Type Inequalities Involving New Green Functions and Montgomery Identity

Ammara Nosheen, Meher Ali, Demco K. Mukongo and Y. S. Hamed

Discrete Dynamics in Nature and Society, 2026, vol. 2026, 1-15

Abstract: Some Hardy-type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss- and Ostrowski-type inequalities related to these Hardy-type inequalities on time scales have been evaluated. Moreover, some connections with the existing results have also been deduced by making special choice of time scales.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8376010

DOI: 10.1155/ddns/8376010

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