Integral inequalities of Hermite--Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions
Integral inequalities of Hermite--Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions
In the paper, the authors introduce the concepts ``$(\alpha,s)$-convex function'' and ``$(\alpha,s,m)$-convex function'' and establish some new integral inequalities of the Hermite--Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions in terms of the classical Euler beta, gamma, and polygamma functions.