On generalized strongly modified h -convex functions

[摘要] We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.

[学科分类] 电力

[关键词] h -convex function;Modified h -convex function;Schur-type inequality;Hermite–Hadamard inequality;Fejér-type inequality