Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions



Título del documento: Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
Revista: Proyecciones (Antofagasta)
Base de datos: PERIÓDICA
Número de sistema: 000405881
ISSN: 0716-0917
Autores: 1
1
Instituciones: 1University of Vlora "Ismail Qemali", Faculty of Technical Sciences, Vlora. Albania
Año:
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
Texto completo: Texto completo (Ver PDF)