On some fractional integral inequalities for generalized strongly modified $h$-convex functions

Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. Many generalizations of convex functions exists in literature. The main aim of the article is t...

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Vydané v:	AIMS mathematics Ročník 5; číslo 6; s. 6620 - 6638
Hlavní autori:	Yan, Peiyu, Li, Qi, Ming Chu, Yu, Mukhtar, Sana, Waheed, Shumaila
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.01.2020
Predmet:	generalized convex functions modified h-convex function strongly convex functions
ISSN:	2473-6988, 2473-6988
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Popis
Shrnutí:	Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. Many generalizations of convex functions exists in literature. The main aim of the article is to develop fractional integral inequalities for generalized strongly modified h-convex functions. Based on obtained fractional type integral inequalities we give some applications to the means. Our results are extension and generalization of many existing results.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2020426