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",

month = aug,

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doi = "10.1016/j.jmaa.2008.03.051",

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AU - Abramovich, Shoshana

AU - Barić, Josipa

AU - Pečarić, Josip

PY - 2008/8/15

Y1 - 2008/8/15

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/43449086102

U2 - 10.1016/j.jmaa.2008.03.051

DO - 10.1016/j.jmaa.2008.03.051

M3 - Article

AN - SCOPUS:43449086102

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VL - 344

SP - 1048

EP - 1056

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Fejer and Hermite-Hadamard type inequalities for superquadratic functions

Abstract

Keywords

ASJC Scopus subject areas

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