Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is...

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Published inOpen mathematics (Warsaw, Poland) Vol. 18; no. 1; pp. 794 - 806
Main Authors Han, Jiangfeng, Mohammed, Pshtiwan Othman, Zeng, Huidan
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 22.07.2020
De Gruyter Poland
Subjects
26A33
26D07
26D10
26D15
convex function
Fractional calculus
Inequalities
integral inequalities
Integrals
mt-convex function
Riemann-Liouville fractional integral
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Summary:The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2020-0038