Superquadratic functions in several variables

S. Abramovich; S. Banić; M. Matić

doi:10.1016/j.jmaa.2006.05.014

Superquadratic functions in several variables

S. Abramovich, S. Banić, M. Matić

Department of Mathematics

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

Abstract

The concept of superquadratic functions in several variables, as a generalization of the same concept in one variable is introduced. Analogous results to results obtained for convex functions in one and several variables are presented. These include refinements of Jensen's inequality and its counterpart, and of Slater-Pečarić's inequality.

Original language	English
Pages (from-to)	1444-1460
Number of pages	17
Journal	Journal of Mathematical Analysis and Applications
Volume	327
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2006.05.014
State	Published - 15 Mar 2007

Keywords

Convex functions
Jensen's inequality
Superquadratic functions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2006.05.014

Cite this

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title = "Superquadratic functions in several variables",

abstract = "The concept of superquadratic functions in several variables, as a generalization of the same concept in one variable is introduced. Analogous results to results obtained for convex functions in one and several variables are presented. These include refinements of Jensen's inequality and its counterpart, and of Slater-Pe{\v c}ari{\'c}'s inequality.",

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AU - Banić, S.

AU - Matić, M.

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N2 - The concept of superquadratic functions in several variables, as a generalization of the same concept in one variable is introduced. Analogous results to results obtained for convex functions in one and several variables are presented. These include refinements of Jensen's inequality and its counterpart, and of Slater-Pečarić's inequality.

AB - The concept of superquadratic functions in several variables, as a generalization of the same concept in one variable is introduced. Analogous results to results obtained for convex functions in one and several variables are presented. These include refinements of Jensen's inequality and its counterpart, and of Slater-Pečarić's inequality.

KW - Convex functions

KW - Jensen's inequality

KW - Superquadratic functions

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DO - 10.1016/j.jmaa.2006.05.014

M3 - Article

AN - SCOPUS:33751011887

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Superquadratic functions in several variables

Abstract

Keywords

ASJC Scopus subject areas

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