Journal: | Proyecciones (Antofagasta) |
Database: | PERIÓDICA |
System number: | 000405881 |
ISSN: | 0716-0917 |
Authors: | Kashuri, Artion1 Liko, Rozana1 |
Institutions: | 1University of Vlora "Ismail Qemali", Faculty of Technical Sciences, Vlora. Albania |
Year: | 2017 |
Season: | Mar |
Volumen: | 36 |
Number: | 1 |
Pages: | 45-80 |
Country: | Chile |
Language: | Inglés |
Document type: | Artículo |
Approach: | Analítico |
English abstract | 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 |
Keyword: | 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 |
Full text: | Texto completo (Ver PDF) |