A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite-Hadamard inequality.

Bibliographic Details
Main Authors: Delavar M. Rostamian, Dragomir S. S., De La Sen M.
Format: Article
Language:English
Published: Petrozavodsk State University 2019-04-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5790&lang=ru
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spelling doaj-c02061e2f4c742d3b82b61bfbea7b5332021-07-02T07:11:26ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322019-04-018(26)2283610.15393/j3.art.2019.5790A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type InequalityDelavar M. Rostamian0Dragomir S. S.1De La Sen M.2Department of Mathematics, Faculty of Basic Sciences, University of BojnordMathematics, College of Engineering & Science, Victoria UniversityInstitute of Research and Development of Processes, University of BasqueCountryA characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite-Hadamard inequality.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5790&lang=ruh-convex functionHermite-Hadamard inequality
collection DOAJ
language English
format Article
sources DOAJ
author Delavar M. Rostamian
Dragomir S. S.
De La Sen M.
spellingShingle Delavar M. Rostamian
Dragomir S. S.
De La Sen M.
A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
Проблемы анализа
h-convex function
Hermite-Hadamard inequality
author_facet Delavar M. Rostamian
Dragomir S. S.
De La Sen M.
author_sort Delavar M. Rostamian
title A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
title_short A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
title_full A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
title_fullStr A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
title_full_unstemmed A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
title_sort note on characterization of h-convex functions via hermite-hadamard type inequality
publisher Petrozavodsk State University
series Проблемы анализа
issn 2306-3424
2306-3432
publishDate 2019-04-01
description A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite-Hadamard inequality.
topic h-convex function
Hermite-Hadamard inequality
url http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5790&lang=ru
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