Jensen, hö lder, minkowski, jensen-steffensen and slater-pe   caríc inequalities derived through n-quasiconvexity

Shoshana Abramovich

doi:10.7153/mia-19-89

Jensen, hö lder, minkowski, jensen-steffensen and slater-pe caríc inequalities derived through n-quasiconvexity

Shoshana Abramovich

Department of Mathematics

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

Abstract

Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pěcaríc type inequalities derived by the properties of γ-quasiconvex functions that we deal with here, can be seen as analog to these for superquadratic functions and refinements of these for convex functions.

Original language	English
Pages (from-to)	1203-1226
Number of pages	24
Journal	Mathematical Inequalities and Applications
Volume	19
Issue number	4
DOIs	https://doi.org/10.7153/mia-19-89
State	Published - Oct 2016

Keywords

Convex function
Hölder's inequality
Jensen's inequality
Minkowski inequality
N -quasiconvex functions
Superquadratic functions
γ-quasiconvex functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.7153/mia-19-89

Cite this

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title = "Jensen, h{\"o} lder, minkowski, jensen-steffensen and slater-pe car{\'i}c inequalities derived through n-quasiconvexity",

abstract = "Jensen, H{\"o}lder, Minkowski, Jensen-Steffensen and Slater-P{\v e}car{\'i}c type inequalities derived by the properties of γ-quasiconvex functions that we deal with here, can be seen as analog to these for superquadratic functions and refinements of these for convex functions.",

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KW - Convex function

KW - Hölder's inequality

KW - Jensen's inequality

KW - Minkowski inequality

KW - N -quasiconvex functions

KW - Superquadratic functions

KW - γ-quasiconvex functions

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