Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives

Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives

Abstract: In the present paper, the notion of generalized relative semi-(r; m, h)-preinvex mappings is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized relative semi-(r; m, h)-preinvex mappings are given. Moreover, som...

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Autores principales: Kashuri,Artion, Liko,Rozana
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:
Ostrowski type inequality
Hölder’s inequality
Minkowski inequality
power mean inequality
Caputo k-fractional derivatives
m-invex.
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200363
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spelling oai:scielo:S0716-091720190002003632019-05-30Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivativesKashuri,ArtionLiko,Rozana Ostrowski type inequality Hölder’s inequality Minkowski inequality power mean inequality Caputo k-fractional derivatives m-invex. Abstract: In the present paper, the notion of generalized relative semi-(r; m, h)-preinvex mappings is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized relative semi-(r; m, h)-preinvex mappings are given. Moreover, some new generalizations of Ostrowski type integral inequalities to generalized relative semi-(r; m, h)-preinvex mappings that are (n + 1)-differentiable via Caputo k-fractional derivatives are established. Some applications to special means are also obtain. It is pointed out that some new special cases can be deduced from main results of the article.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.2 20192019-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200363en10.4067/S0716-09172019000200363
institution Scielo Chile
collection Scielo Chile
language English
topic Ostrowski type inequality
Hölder’s inequality
Minkowski inequality
power mean inequality
Caputo k-fractional derivatives
m-invex.
spellingShingle Ostrowski type inequality
Hölder’s inequality
Minkowski inequality
power mean inequality
Caputo k-fractional derivatives
m-invex.
Kashuri,Artion
Liko,Rozana
Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives
description Abstract: In the present paper, the notion of generalized relative semi-(r; m, h)-preinvex mappings is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized relative semi-(r; m, h)-preinvex mappings are given. Moreover, some new generalizations of Ostrowski type integral inequalities to generalized relative semi-(r; m, h)-preinvex mappings that are (n + 1)-differentiable via Caputo k-fractional derivatives are established. Some applications to special means are also obtain. It is pointed out that some new special cases can be deduced from main results of the article.
author Kashuri,Artion
Liko,Rozana
author_facet Kashuri,Artion
Liko,Rozana
author_sort Kashuri,Artion
title Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives
title_short Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives
title_full Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives
title_fullStr Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives
title_full_unstemmed Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives
title_sort some new ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via caputo k -fractional derivatives
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200363
work_keys_str_mv AT kashuriartion somenewostrowskitypefractionalintegralinequalitiesforgeneralizedrelativesemirmhpreinvexmappingsviacaputokfractionalderivatives
AT likorozana somenewostrowskitypefractionalintegralinequalitiesforgeneralizedrelativesemirmhpreinvexmappingsviacaputokfractionalderivatives
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