Fejer and Hermite-Hadamard type inequalities for superquadratic functions

Shoshana Abramovich; Josipa Barić; Josip Pečarić

doi:10.1016/j.jmaa.2008.03.051

Fejer and Hermite-Hadamard type inequalities for superquadratic functions

Shoshana Abramovich, Josipa Barić, Josip Pečarić

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we use basic properties of superquadratic functions to obtain new inequalities including Fejer's type and Hermite-Hadamard type inequalities. For superquadratic functions which are also convex, we get refinements of known results.

Original language	English
Pages (from-to)	1048-1056
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	344
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.03.051
State	Published - 15 Aug 2008

Keywords

Fejer inequalities
Hermite-Hadamard inequality
Superquadracity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2008.03.051

Cite this

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title = "Fejer and Hermite-Hadamard type inequalities for superquadratic functions",

abstract = "In this paper we use basic properties of superquadratic functions to obtain new inequalities including Fejer's type and Hermite-Hadamard type inequalities. For superquadratic functions which are also convex, we get refinements of known results.",

keywords = "Fejer inequalities, Hermite-Hadamard inequality, Superquadracity",

author = "Shoshana Abramovich and Josipa Bari{\'c} and Josip Pe{\v c}ari{\'c}",

year = "2008",

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AU - Pečarić, Josip

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Y1 - 2008/8/15

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AB - In this paper we use basic properties of superquadratic functions to obtain new inequalities including Fejer's type and Hermite-Hadamard type inequalities. For superquadratic functions which are also convex, we get refinements of known results.

KW - Fejer inequalities

KW - Hermite-Hadamard inequality

KW - Superquadracity

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Fejer and Hermite-Hadamard type inequalities for superquadratic functions

Abstract

Keywords

ASJC Scopus subject areas

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