New inequalities for fractional integrals and their applications

Abstract

In this paper, we establish some Hermite-Hadamard-type, Bullen-type, and Simpson-type inequalities for fractional integrals. Some applications for the beta function are also given.

Some results on integral inequalities via Riemann–Liouville fractional integrals

“…The results presented in this paper provide extension of those given in earlier works. The interested readers are referred to [3,[10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Refinements and similar extensions of Hermite–Hadamard inequality for fractional integrals and their applications

“…R, is known in the literature as Hermite-Hadamard inequality [7]. For some results which generalize, improve, and extend the inequality (1.1), refer to [1][2][3][4][5][6][8][9][10][11][12][13][14][15][16][17][18].…”

Hadamard type local fractional integral inequalities for generalized harmonically convex functions and applications

“…In recent years, due to the generalization of the definition of convexity, many new results have been obtained in the study of Hermite‐Hadamard's inequality. Readers can refer to and the references therein.…”