Hermite–Hadamard type inequalities for m-convex and ( α , m ) $( \alpha , m)$ -convex functions

Hermite–Hadamard type inequalities for m-convex and ( α , m ) $( \alpha , m)$ -convex functions

Abstract In this paper, some new inequalities of the Hermite–Hadamard type for the classes of functions whose derivatives’ absolute values are m-convex and ( α , m ) $( \alpha , m) $ -convex are obtained. The results obtained in this work extend and improve the corresponding ones in the literature....

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Bibliographic Details
Main Author: Serap Özcan
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of Inequalities and Applications
Subjects:
m-convex function
( α , m ) $( \alpha , m) $ -convex function
Hermite–Hadamard type inequalities
Integral inequalities
Online Access:http://link.springer.com/article/10.1186/s13660-020-02442-5

Internet

http://link.springer.com/article/10.1186/s13660-020-02442-5

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