Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
Abstract: In this paper, we derive a fractional integral identity concerning three times differentiable generalized preinvex mappings defined on m-invex set. By using of this identity, we obtain new estimates on generalization of trapezium-like inequalities for functions whose third order derivative...
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| Autores principales: | , , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2018
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200345 |
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| Sumario: | Abstract: In this paper, we derive a fractional integral identity concerning three times differentiable generalized preinvex mappings defined on m-invex set. By using of this identity, we obtain new estimates on generalization of trapezium-like inequalities for functions whose third order derivatives are generalized (m,h1,h2)-preinvex via Riemann-Liouville fractional integrals. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones. |
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