Refinements of Jensen’s inequality by uniformly convex functions

Shoshana Abramovich

doi:10.1007/s00010-022-00922-1

Refinements of Jensen’s inequality by uniformly convex functions

Shoshana Abramovich

Department of Mathematics

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

Abstract

In this paper we deal with functions related to generalized convexity and refine Jensen type inequalities satisfied by such functions. Specifically, we extend inequalities satisfied by uniformly convex functions, strongly convex functions as well as superquadratic functions.

Original language	English
Pages (from-to)	75-88
Number of pages	14
Journal	Aequationes Mathematicae
Volume	97
Issue number	1
DOIs	https://doi.org/10.1007/s00010-022-00922-1
State	Published - Feb 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Convex functions
Generalized convex functions
Strongly convex functions
Superquadratic functions
ψ-uniformly convex functions

ASJC Scopus subject areas

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1007/s00010-022-00922-1

Cite this

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abstract = "In this paper we deal with functions related to generalized convexity and refine Jensen type inequalities satisfied by such functions. Specifically, we extend inequalities satisfied by uniformly convex functions, strongly convex functions as well as superquadratic functions.",

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KW - Strongly convex functions

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Refinements of Jensen’s inequality by uniformly convex functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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