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Authors: ARTION KASHURI, ROZANA LIKO.
DOI: 10.24193/subbmath.2017.4.03
Published Online: 2017-12-03
Published Print: 2017-12-03
pp. 439-450
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In the present paper, a new class of MT(m,φ)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT(m,φ)-preinvex functions are given. Moreover, some generalizations of Hermite-Ηadamard type inequalities for MT(m,φ)-preinvex functions that are twice differentiable via Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given. These general inequalities give us some new estimates for Hermite-Hadamard type fractional integral inequalities.
Mathematics Subject Classification (2010): 26A51, 26A33, 26D07, 26D10, 26D15.
Keywords: Hermite-Hadamard type inequality, MT-convex function, Holder’s inequality, power mean inequality, Riemann-Liouville fractional integral, m-invex, P-function.
