Some new Hermite-hadamard and fejer type inequalities without convexity/Concavity

Shoshana Abramovich; Lars Erik Persson

doi:10.7153/mia-2020-23-36

Some new Hermite-hadamard and fejer type inequalities without convexity/Concavity

Shoshana Abramovich, Lars Erik Persson

Department of Mathematics

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

Abstract

In this paper we discuss the Hermite-Hadamard and Fejer inequalities vis-a-vis the convexity concept. In particular, we derive some new theorems and examples where Hermite- Hadamard and Fejer type inequalities are satisfied without the assumptions of convexity or concavity on the actual interval [a,b] .

Original language	English
Pages (from-to)	447-458
Number of pages	12
Journal	Mathematical Inequalities and Applications
Volume	23
Issue number	2
DOIs	https://doi.org/10.7153/mia-2020-23-36
State	Published - Apr 2020

Bibliographical note

Publisher Copyright:
© 2020 Element D.O.O.. All rights reserved.

Keywords

Concave functions
Convex functions
Fejer type inequalities
Hermite-Hadamard type inequalities
Symmetrically decreasing functions
Symmetrically increasing functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-2020-23-36

Cite this

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abstract = "In this paper we discuss the Hermite-Hadamard and Fejer inequalities vis-a-vis the convexity concept. In particular, we derive some new theorems and examples where Hermite- Hadamard and Fejer type inequalities are satisfied without the assumptions of convexity or concavity on the actual interval [a,b] .",

keywords = "Concave functions, Convex functions, Fejer type inequalities, Hermite-Hadamard type inequalities, Symmetrically decreasing functions, Symmetrically increasing functions",

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KW - Convex functions

KW - Fejer type inequalities

KW - Hermite-Hadamard type inequalities

KW - Symmetrically decreasing functions

KW - Symmetrically increasing functions

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Some new Hermite-hadamard and fejer type inequalities without convexity/Concavity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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