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Croatian Scientific Bibliography - CROSBI
Article . 2008
Data sources: Croatian Scientific Bibliography - CROSBI
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zbMATH Open
Article . 2008
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A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions

A variant of Jessen's inequality of Mercer's type for superquadratic functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2008 Croatia English Publisher:Victoria University, School of Communications and Informatics, Melbourne
Authors: Abramovich, Shoshana; Baric, J.; Pečarić, Josip E.;

A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions

Abstract

A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.

Country
Croatia
Keywords

isotonic linear functionals, superquadratic functions, functional quasi-arithmetic and power means of Mercer's type, Isotonic linear functionals; Jessen's inequality; Superquadratic functions; Functional quasi-arithmetic and power means of Mercer's type., Inequalities for sums, series and integrals, Functional inequalities, including subadditivity, convexity, etc., Jessen's inequality

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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!
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