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

摘要

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 $psi^{(n)}$ whose derivatives in the absolute values are convex.