Extended Normalized Jensen Functional related to convexity, 1-quasiconvexity and superquadracity

Shoshana Abramovich

doi:10.7153/JMI-2018-12-57

Extended Normalized Jensen Functional related to convexity, 1-quasiconvexity and superquadracity

Shoshana Abramovich

Department of Mathematics

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

Abstract

In this paper we extend results related to Normalized Jensen Functional in several directions. We compare a specific Jensen functional with a sum of other functionals for convex functions, and we also extend these results for 1-quasiconvex functions and for Superquadratic functions.

Original language	English
Pages (from-to)	753-764
Number of pages	12
Journal	Journal of Mathematical Inequalities
Issue number	3
DOIs	https://doi.org/10.7153/JMI-2018-12-57
State	Published - 2018

Bibliographical note

Publisher Copyright:
© Element, Zagreb.

Keywords

1-quasiconvexity
Convexity
Jensen functionals
Superquadracity
γ -quasiconvexity

ASJC Scopus subject areas

Analysis

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10.7153/JMI-2018-12-57

Cite this

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title = "Extended Normalized Jensen Functional related to convexity, 1-quasiconvexity and superquadracity",

abstract = "In this paper we extend results related to Normalized Jensen Functional in several directions. We compare a specific Jensen functional with a sum of other functionals for convex functions, and we also extend these results for 1-quasiconvex functions and for Superquadratic functions.",

keywords = "1-quasiconvexity, Convexity, Jensen functionals, Superquadracity, γ -quasiconvexity",

author = "Shoshana Abramovich",

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year = "2018",

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journal = "Journal of Mathematical Inequalities",

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AB - In this paper we extend results related to Normalized Jensen Functional in several directions. We compare a specific Jensen functional with a sum of other functionals for convex functions, and we also extend these results for 1-quasiconvex functions and for Superquadratic functions.

KW - 1-quasiconvexity

KW - Convexity

KW - Jensen functionals

KW - Superquadracity

KW - γ -quasiconvexity

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DO - 10.7153/JMI-2018-12-57

M3 - Article

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EP - 764

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

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Extended Normalized Jensen Functional related to convexity, 1-quasiconvexity and superquadracity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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