Inequalities for α-fractional differentiable functions

Inequalities for α-fractional differentiable functions

Abstract In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.

Bibliographic Details
Main Authors: Yu-Ming Chu, Muhammad Adil Khan, Tahir Ali, Sever Silvestru Dragomir
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of Inequalities and Applications
Subjects:
convex function
Hermite-Hadamard inequality
fractional derivative
fractional integral
special mean
trapezoidal formula
Online Access:http://link.springer.com/article/10.1186/s13660-017-1371-6

Internet

http://link.springer.com/article/10.1186/s13660-017-1371-6

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