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Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions

Author
Kashuri, Artion

Liko, Rozana

Full text
https://www.revistaproyecciones.cl/article/view/3988
10.22199/issn.0717-6279-2020-01-0014
Abstract
A new class of MT(r;g,m,φ)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two MT(r;g,m,φ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for products of two MT(r;g,m,φ)-preinvex functions via Riemann-Liouville fractional integrals are established. These general inequalities give us some new estimates for the left-hand side of Gauss-Jacobi type quadrature formula and Hermite-Hadamard type fractional integral inequalities. At the end, some conclusions and future research are given.
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