New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

Abstract In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results are the generalizations, improvements, and extensions of some previously known...

Full description

Bibliographic Details
Main Authors: Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Advances in Difference Equations
Subjects:
Convex functions
Hermite–Hadamard inequality
Jensen inequality
Jensen–Mercer inequality
New conformable k-fractional integrals
Online Access:http://link.springer.com/article/10.1186/s13662-020-03093-y
Description
Summary:Abstract In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results are the generalizations, improvements, and extensions of some previously known results, and our ideas and methods may lead to a lot of follow-up research.
ISSN:1687-1847

Similar Items