Revista: | Proyecciones (Antofagasta) |
Base de datos: | PERIÓDICA |
Número de sistema: | 000405881 |
ISSN: | 0716-0917 |
Autors: | Kashuri, Artion1 Liko, Rozana1 |
Institucions: | 1University of Vlora "Ismail Qemali", Faculty of Technical Sciences, Vlora. Albania |
Any: | 2017 |
Període: | Mar |
Volum: | 36 |
Número: | 1 |
Paginació: | 45-80 |
País: | Chile |
Idioma: | Inglés |
Tipo de documento: | Artículo |
Enfoque: | Analítico |
Resumen en inglés | In the present paper, the notion of MTm-preinvex function is introduced and some new integral inequalities involving MTm-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions via classical integrals and Riemann-Liouville fractional integrals are established. These results not only extends the results appeared in the literature (see [10], [11], [12]), but also provide new estimates on these types |
Disciplines | Matemáticas |
Paraules clau: | Matemáticas puras, Cálculo fraccional, Desigualdades, Funciones especiales, Funciones reales, Integrales fraccionarias, Funciones convexas, Desigualdades integrales, Desigualdad de Ostrowski, Desigualdad Hermite-Hadamard, Función gamma, Función beta |
Keyword: | Mathematics, Pure mathematics, Fractional calculus, Inequalities, Special functions, Real functions, Fractional integrals, Convex functions, Integral inequalities, Ostrowski's Inequality, Hermite-Hadamard inequality, Gamma function, Beta function |
Text complet: | Texto completo (Ver PDF) |