New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

Abstract

In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along with beta function are given. Moreover, some generalizations of Ostrowski type inequalities for new generalized (s, m, ϕ)-preinvex mappings via conformable fractional integrals are established. At the end, some applications to special means are given.

Keywords

• ostrowski type inequality
• hölder’s inequality
• power mean inequality
• riemann- liouville fractional integrals
• conformable fractional integrals
• s-convex function in the second sense
• m-invex
• p-function
• primary: 26a51
• secondary: 26a33, 26d07, 26d10, 26d15