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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 27 Apr 2023 English Publisher:MDPI AGJournal:Axioms, volume 12, page 434 (eissn: 2075-1680, Copyright policy )
Authors: Kristina Krulic Himmelreich; Josip Pecaric; Dora Pokaz; Marjan Praljak;

doi: 10.3390/axioms12050434

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

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.

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Keywords

n-convexity, Hardy inequality, Grüss-type inequality, Ostrowsky-type inequality, QA1-939, Montgomery identity, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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