Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Guo,Piao, Huang,Zhengzheng, Du,Tingsong
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:
Hermite-Hadamard's inequality
fractional integrals
generalized (m, h1, h2)-preinvex functions.
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200345
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:scielo:S0716-09172018000200345
record_format dspace
spelling oai:scielo:S0716-091720180002003452018-05-29Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexityGuo,PiaoHuang,ZhengzhengDu,Tingsong Hermite-Hadamard's inequality fractional integrals generalized (m, h1, h2)-preinvex functions. 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200345en10.4067/S0716-09172018000200345
institution Scielo Chile
collection Scielo Chile
language English
topic Hermite-Hadamard's inequality
fractional integrals
generalized (m, h1, h2)-preinvex functions.
spellingShingle Hermite-Hadamard's inequality
fractional integrals
generalized (m, h1, h2)-preinvex functions.
Guo,Piao
Huang,Zhengzheng
Du,Tingsong
Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
description 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.
author Guo,Piao
Huang,Zhengzheng
Du,Tingsong
author_facet Guo,Piao
Huang,Zhengzheng
Du,Tingsong
author_sort Guo,Piao
title Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
title_short Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
title_full Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
title_fullStr Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
title_full_unstemmed Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
title_sort riemann-liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200345
work_keys_str_mv AT guopiao riemannliouvillefractionaltrapeziumlikeinequalitiesviageneralizedmh1h2preinvexity
AT huangzhengzheng riemannliouvillefractionaltrapeziumlikeinequalitiesviageneralizedmh1h2preinvexity
AT dutingsong riemannliouvillefractionaltrapeziumlikeinequalitiesviageneralizedmh1h2preinvexity
_version_ 1718439835489796096

Ejemplares similares