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Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions

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In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived. Click to show full abstract

In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.

Keywords: green functions; hardy type; type inequalities; generalizations hardy; montgomery identity

Journal Title: Axioms
Year Published: 2023

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