Some parameterized integral inequalities for p-convex mappings via the right Katugampola fractional integrals

We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard’s inequality for p-convex mappings and an identity with two parameters. We derive several parameterized integral inequalities associated with this identity, and provide three...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 2; pp. 1425 - 1445
Main Authors Hu, Gou, Lei, Hui, Du, Tingsong
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
hadamard fractional integrals
hermite-hadamard’s inequality
riemann-liouville fractional integrals
simpson’s inequality
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Summary:We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard’s inequality for p-convex mappings and an identity with two parameters. We derive several parameterized integral inequalities associated with this identity, and provide three examples to illustrate the obtained results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020098