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...

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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

Internet

http://link.springer.com/article/10.1186/s13662-020-03093-y

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