Title of article :
Some inequalities of Hermite–Hadamard type for functions whose second derivatives are (α, m)-convex
Author/Authors :
Shuang ، Ye - Inner Mongolia University for Nationalities , Qi ، Feng - Tianjin Polytechnic University , Wang ، Yan - Inner Mongolia University for Nationalities
Abstract :
In the paper, the authors establish a new integral identity and by this identity with the Holder integral inequality, discover some new Hermite–Hadamard type integral inequalities for functions whose second derivatives are (α, m)-convex.
Keywords :
Hermite–Hadamard type inequality , (α , m) , convex function , second derivative , Holder integral inequality
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
