Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions

Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions

In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively preinvex functions.

Bibliographic Details
Main Author: Serap Özcan
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
invex sets
preinvex functions
multiplicative calculus
hermite-hadamard inequalities
Online Access:https://www.aimspress.com/article/10.3934/math.2020103/fulltext.html
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spelling doaj-11270926f1fb4874b663acae0439e9212020-11-25T01:30:04ZengAIMS PressAIMS Mathematics2473-69882020-01-01521505151810.3934/math.2020103Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functionsSerap Özcan0Department of Mathematics, Kırklareli University, 39100, Kırklareli, TurkeyIn this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively preinvex functions.https://www.aimspress.com/article/10.3934/math.2020103/fulltext.htmlinvex setspreinvex functionsmultiplicative calculushermite-hadamard inequalities
collection DOAJ
language English
format Article
sources DOAJ
author Serap Özcan
spellingShingle Serap Özcan
Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
AIMS Mathematics
invex sets
preinvex functions
multiplicative calculus
hermite-hadamard inequalities
author_facet Serap Özcan
author_sort Serap Özcan
title Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
title_short Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
title_full Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
title_fullStr Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
title_full_unstemmed Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
title_sort some integral inequalities of hermite-hadamard type for multiplicatively preinvex functions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-01-01
description In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively preinvex functions.
topic invex sets
preinvex functions
multiplicative calculus
hermite-hadamard inequalities
url https://www.aimspress.com/article/10.3934/math.2020103/fulltext.html
work_keys_str_mv AT serapozcan someintegralinequalitiesofhermitehadamardtypeformultiplicativelypreinvexfunctions
_version_ 1725093927866859520

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