Title of article :
New Hermite-Hadamard inequalities for twice differentiable ϕ -MT-preinvex functions
Author/Authors :
Zheng ، Sheng - China Three Gorges University , Du ، Ting-Song - China Three Gorges University , Zhao ، Sha-Sha - China Three Gorges University , Chen ، Lian-Zi - China Three Gorges University
Abstract :
New Hermite-Hadamard-type integral inequalities for ϕ -MT-preinvex functions are obtained. Our results in special cases yield some of those results proved in recent articles concerning with the differentiable MTconvex functions. Some applications to special means and the trapezoidal formula are also considered, respectively.
Keywords :
ϕ , MT , preinvex functions , Hermite , Hadamard s integral inequality , Holder s inequality
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
