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.
HWANG, HSIOW RU; TSENG, KUEI LIN; and HSU, KAI CHEN
"New inequalities for fractional integrals and their applications,"
Turkish Journal of Mathematics: Vol. 40:
3, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol40/iss3/1