k-fractional integral trapezium-like inequalities through ( h , m ) $(h,m)$ -convex and ( α , m ) $(\alpha,m)$ -convex mappings

k-fractional integral trapezium-like inequalities through ( h , m ) $(h,m)$ -convex and ( α , m ) $(\alpha,m)$ -convex mappings

Abstract In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of ( h , m ) $(h,m)$ -convexity, ( α , m ) $(\alpha,m)$ -convexity and the obtained equation, some new trapezium-like integral inequalities are established. The resu...

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Bibliographic Details
Main Authors: Hao Wang, Tingsong Du, Yao Zhang
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Journal of Inequalities and Applications
Subjects:
( h , m ) $(h,m)$ -convex functions
( α , m ) $(\alpha,m)$ -convex functions
k-fractional integrals
Online Access:http://link.springer.com/article/10.1186/s13660-017-1586-6

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http://link.springer.com/article/10.1186/s13660-017-1586-6

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