Hermite-Hadamard type fractional integral inequalities for generalized beta (r, g)-preinvex functions.

• Autores: Artion Kashuri, Rozana Liko
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 36, Nº. 4, 2017, págs. 711-726
• Idioma: inglés
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• Resumen

  • In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized beta (r, g)-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.