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Hermite-Hadamard Type Inequalities for Mtm-Preinvex Functions
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AbstractIn 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 are established. At the end, some applications to special means are given. These results not only extend the results appeared in the literature (see [13]), but also provide new estimates on these types.
Title: Hermite-Hadamard Type Inequalities for Mtm-Preinvex Functions
Description:
AbstractIn 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 are established.
At the end, some applications to special means are given.
These results not only extend the results appeared in the literature (see [13]), but also provide new estimates on these types.
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