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Mathematics
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Mathematics
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Article . 2021
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https://dx.doi.org/10.3390/mat...
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Generalizations of the Jensen–Mercer Inequality via Fink’s Identity

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 27 Sep 2021 Croatia English Publisher:MDPI AGJournal:Mathematics, volume 9, page 2,406 (eissn: 2227-7390, Copyright policy )
Authors: Anita Matković;

doi: 10.3390/math9192406

Generalizations of the Jensen–Mercer Inequality via Fink’s Identity

Abstract

We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n-convex functions at a point.

Country
Croatia
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Keywords

n-convex functions, Jensen–Mercer inequality, QA1-939, Jensen–Mercer inequality ; Fink’s identity ; n-convex functions, Fink’s 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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Average
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