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In the present paper, the notion of MTm-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MTm-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MTm-preinvex functions via classical integrals and Riemann-Liouville fractional integrals...
In this paper, first, we obtained two new $$s$$ s -Godunova–Levin type inequalities about “the mean value Theorem for integrals”. Second, some inequalities were proved for mappings $$q$$ q th powers of first derivatives belonging to class $$Q_{s}(I)$$ Q s ( I ) using the Čebyšev’s inequality, H ölder inequality, Power mean inequality, and some other classical inequalities...
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