Some integral inequalities for harmonically \((\alpha,s)\)-convex functions (Q2323533)

Summary: In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically \((\alpha, s)\)-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically \((\alpha, s)\)-convex functions. The properties of the newly introduced class of harmonically convex functions are also investigated. Finally, some applications to special means are given.