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- Title
HERMITE-HADAMARD TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR MT<sub>(g;m;φ)</sub>-PREINVEX FUNCTIONS.
- Authors
Kashuri, Artion; Liko, Rozana
- Abstract
In the present paper, the notion of MT(g;m;φ)-preinvex function is introduced and some new integral inequalities for the left hand side of Gauss-Jacobi type quadrature formula involving MT(g;m;φ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MT(g;m;φ)-preinvex functions that are twice differentiable via Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given. These general inequalities give us some new estimates for Hermite-Hadamard type fractional integral inequalities.
- Subjects
HERMITE polynomials; FRACTIONAL integrals; MATHEMATICAL inequalities
- Publication
Palestine Journal of Mathematics, 2018, Vol 7, Issue 1, p307
- ISSN
2219-5688
- Publication type
Article