| Revue: | Proyecciones (Antofagasta) |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000405881 |
| ISSN: | 0716-0917 |
| Autores: | Kashuri, Artion1 Liko, Rozana1 |
| Instituciones: | 1University of Vlora "Ismail Qemali", Faculty of Technical Sciences, Vlora. Albania |
| Año: | 2017 |
| Periodo: | Mar |
| Volumen: | 36 |
| Número: | 1 |
| Paginación: | 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 |
| Disciplinas: | Matemáticas |
| Palabras clave: | 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 |
| Texte intégral: | Texto completo (Ver PDF) |
