On Generalized Convexity and Superquadracity

Shoshana Abramovich

doi:10.1007/978-3-030-84721-0_3

On Generalized Convexity and Superquadracity

Shoshana Abramovich

Department of Mathematics

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

Abstract

In this paper we deal with generalized ψ-uniformly convex functions and with superquadratic functions and discuss some of their similarities and differences. Using the techniques discussed here, we obtain reversed and refined Minkowski type inequalities.

Original language	English
Title of host publication	Springer Optimization and Its Applications
Publisher	Springer
Pages	33-45
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-030-84721-0_3
State	Published - 2021

Publication series

Name	Springer Optimization and Its Applications
Volume	179
ISSN (Print)	1931-6828
ISSN (Electronic)	1931-6836

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Keywords

Convex functions
Generalized uniformly convex functions
Minkowski inequality
Superquadratic functions

ASJC Scopus subject areas

Control and Optimization

Access to Document

10.1007/978-3-030-84721-0_3

Cite this

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doi = "10.1007/978-3-030-84721-0_3",

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KW - Convex functions

KW - Generalized uniformly convex functions

KW - Minkowski inequality

KW - Superquadratic functions

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M3 - Chapter

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T3 - Springer Optimization and Its Applications

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EP - 45

BT - Springer Optimization and Its Applications

PB - Springer

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On Generalized Convexity and Superquadracity

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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