Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives

Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives

Abstract: In the present paper, the notion of generalized (s, m, φ)-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo k-fractional derivatives. At the end, some applications to special means are given.

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Autores principales: Kashuri,Artion, Liko,Rozana
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:
Ostrowski’ type inequality
Hölder's inequality
power mean inequality
s-;convex function in the second sense, m-invex.
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100133
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spelling oai:scielo:S0716-091720180001001332018-03-13Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivativesKashuri,ArtionLiko,Rozana Ostrowski’ type inequality Hölder's inequality power mean inequality s-;convex function in the second sense, m-invex. Abstract: In the present paper, the notion of generalized (s, m, φ)-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo k-fractional derivatives. At the end, some applications to special means are given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.1 20182018-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100133en10.4067/S0716-09172018000100133
institution Scielo Chile
collection Scielo Chile
language English
topic Ostrowski’ type inequality
Hölder's inequality
power mean inequality
s-;convex function in the second sense, m-invex.
spellingShingle Ostrowski’ type inequality
Hölder's inequality
power mean inequality
s-;convex function in the second sense, m-invex.
Kashuri,Artion
Liko,Rozana
Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives
description Abstract: In the present paper, the notion of generalized (s, m, φ)-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo k-fractional derivatives. At the end, some applications to special means are given.
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 (s,m, φ)-preinvex functions via Caputo k -fractional derivatives
title_short Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives
title_full Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives
title_fullStr Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives
title_full_unstemmed Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives
title_sort some new ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via caputo k -fractional derivatives
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100133
work_keys_str_mv AT kashuriartion somenewostrowskitypefractionalintegralinequalitiesforgeneralizedsm966preinvexfunctionsviacaputokfractionalderivatives
AT likorozana somenewostrowskitypefractionalintegralinequalitiesforgeneralizedsm966preinvexfunctionsviacaputokfractionalderivatives
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