Hermite–Hadamard-type inequalities for functions whose derivatives are η-convex via fractional integrals

In the present research, we develop some integral inequalities of Hermite–Hadamard type for differentiable η -convex functions. Moreover, our results include several new and known results as particular cases.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 16
Main Authors Kwun, Young Chel, Saleem, Muhammad Shoaib, Ghafoor, Mamoona, Nazeer, Waqas, Kang, Shin Min
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.02.2019
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Convex function
Fractional integral
Hermite–Hadamard-type inequality
Inequalities
Integrals
Mathematics
Mathematics and Statistics
η-convex function
Hermite–Hadamard-type inequality
Convex function
Fractional integral
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Summary:In the present research, we develop some integral inequalities of Hermite–Hadamard type for differentiable η -convex functions. Moreover, our results include several new and known results as particular cases.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-1993-y