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-invexAbstract
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.
Mathematics Subject Classification (2010): 26A51, 26A33, 26D07, 26D10, 26D15.
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