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

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

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.

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Veröffentlicht in:Axioms 2023-04, Vol.12 (5), p.434
Hauptverfasser: Himmelreich, Kristina Krulić, Pečarić, Josip, Pokaz, Dora, Praljak, Marjan
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Green's functions
Grüss-type inequality
Hardy inequality
Inequalities
Inequalities (Mathematics)
Inequality
Mathematical research
Montgomery identity
n-convexity
Ostrowsky-type inequality
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Zusammenfassung: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12050434