Hermite-Hadamard type fractional integral inequalities for generalized (r; g, s, m, φ)-preinvex functions
2017
artykuł naukowy
angielski
- Hermite-Hadamard type inequalities
- Hölder inequality
- Cauchy's inequality
- power mean inequality
- Riemann-Liouville fractional integral
EN In the present paper, a new class of generalized (r; g, s, m, ϕ)-preinvex functions is introduced and some new integral inequalities for the left hand side of Gauss-Jacobi type quadrature formula involving generalized (r; g, s, m, ϕ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized (r; g, s, m, ϕ)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see [1],[2]), but also provide new estimates on these types.
43 - 55
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny
10
10