Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Abstract In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable mapping ψ ( n ) $\psi^{(n)}$ whose derivati...

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Bibliographic Details
Main Authors: Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Advances in Difference Equations
Subjects:
Convex functions
Hermite–Hadamard inequalities
Jensen inequality
Jensen–Mercer inequality
k-Caputo fractional derivatives
Online Access:http://link.springer.com/article/10.1186/s13662-020-02693-y

Internet

http://link.springer.com/article/10.1186/s13662-020-02693-y

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