The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results

Abstract

In this paper, we establish Hermite-Hadamard type inequalities for s - convex functions in the second sense and m - convex functions via fractional integrals. The analysis used in the proofs is fairly elementary.

A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals

“…Hermite-Hadamard type inequalities for s-convex functions via RiemannLiouville fractional integral is given in [22] as follows:…”

On generalization of trapezoid type inequalities for s-convex functions with generalized fractional integral operators

“…If we choose λ = α, σ(0) = 1, w = 0 in Theorem 4.9, then Theorem 4.9 reduce to Theorem 4 proved by Set et al in[18].…”

Hermite-Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals

“…For further results related to Hermite-Hadamard type inequalities involving fractional integrals on can see [8,9,[12][13][14][15][16][17][18][19]. In [5], Iscan et al gave a generalization of (1.3) for harmonically convex functions as follows:…”