SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS CONCERNING TWICE DIFFERENTIABLE GENERALIZED RELATIVE SEMI-(r;m,p,q,h1,h2)-PREINVEX MAPPINGS

Abstract

In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(r; m, p, q, h1, h2)-preinvex mappings. And then, a new identity concerning twice differentiable mappings defined on m-invex set via conformable fractional integrals is derived. By using the notion of generalized relative semi- (r;m,p,q,h1,h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard type inequalities via conformable fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article.