New applications of γ-quasiconvexity

Shoshana Abramovich

doi:10.1007/978-3-319-89815-5_1

New applications of γ-quasiconvexity

Shoshana Abramovich

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This survey deals with inequalities satisfied by γ-quasiconvex functions which are one of the many variants of convex functions. The γ-quasiconvex functions have already been dealt with by S. Abramovich, L.-E. Persson and N. Samko. Among the applications we demonstrate here are Jensen, Hardy, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić inequalities. These inequalities can be seen as extensions and refinements of inequalities satisfied by convex functions.

Original language	English
Title of host publication	Springer Optimization and Its Applications
Publisher	Springer International Publishing
Pages	1-20
Number of pages	20
DOIs	https://doi.org/10.1007/978-3-319-89815-5_1
State	Published - 2018

Publication series

Name	Springer Optimization and Its Applications
Volume	134
ISSN (Print)	1931-6828
ISSN (Electronic)	1931-6836

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

ASJC Scopus subject areas

Control and Optimization

Access to Document

10.1007/978-3-319-89815-5_1

Cite this

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New applications of γ-quasiconvexity

Abstract

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ASJC Scopus subject areas

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