On some new integral inequalities concerning twice differentiable generalized relative semi-$(m,h)$-preinvex mappings
DOI:
https://doi.org/10.24193/subbmath.2019.1.05Keywords:
Hermite-Hadamard type inequality, fractional integrals, $m$-invex.Abstract
The authors first present some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-$(m,h)$-preinvex mappings. And then, a new identity concerning twice differentiable mappings defined on $m$-invex set is derived. By using the notion of generalized relative semi-$(m,h)$-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. These new presented inequalities are also applied to construct inequalities for special means.References
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