Hermite-Hadamard type integral inequalities for products of two generalized (s; m; ξ)-preinvex functions

Kashuri, Artion; Liko, Rozana

doi:10.1515/mjpaa-2017-0009

Abstract

In this paper, the notion of generalized (s; m; ξ)-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized (s; m; ξ)-preinvex functions along with beta function are given. Moreover, we establish some new Hermite-Hadamard type integral inequalities for products of two generalized (s; m; ξ)-preinvex functions via classical and Riemann-Liouville fractional integrals. These results not only extend the results appeared in the literature (see [10],[11]), but also provide new estimates on these types. At the end, some conclusions are given.

References

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Hermite-Hadamard type integral inequalities for products of two generalized (s; m; ξ)-preinvex functions

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