New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals

Abstract

In this paper, the author introduces the concept of the quasi-geometrically convex and defines a new identity for fractional integrals. By using of this identity, author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for GA-s-convex, quasi-geometrically convex and (s,m)-GA-convex functions via Riemann Liouville fractional integral.

arXiv comment15 pages

References in corpus (2)

• Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals
• Integral inequalities of Hermite-Hadamard type for $(\alpha ,m)$-GA-convex functions