Hermite-Hadamard type inequalities for MTm-preinvex functions
2017
scientific article
english
- Hermite-Hadamard type inequality
- MT-convex function
- Hölder's inequality
- power mean inequality
- fractional integral
- m-invex
- P-function
EN 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 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.
77 - 97
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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