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

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-preinvexfunctions via classical i...

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Autores principales:	Kashuri,Artion, Liko,Rozana
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2017
Materias:	Euler Gamma function Euler Beta function MT-convex function Hermite-Hadamard type inequality Ostrowski type inequal-ity Holder’s inequality power mean inequality fractional integral m-invex P-function.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100004
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spelling	oai:scielo:S0716-091720170001000042017-02-13Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functionsKashuri,ArtionLiko,Rozana Euler Gamma function Euler Beta function MT-convex function Hermite-Hadamard type inequality Ostrowski type inequal-ity Holder’s inequality power mean inequality fractional integral m-invex P-function. 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-preinvexfunctions 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.1 20172017-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100004en10.4067/S0716-09172017000100004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Euler Gamma function Euler Beta function MT-convex function Hermite-Hadamard type inequality Ostrowski type inequal-ity Holder’s inequality power mean inequality fractional integral m-invex P-function.
spellingShingle	Euler Gamma function Euler Beta function MT-convex function Hermite-Hadamard type inequality Ostrowski type inequal-ity Holder’s inequality power mean inequality fractional integral m-invex P-function. Kashuri,Artion Liko,Rozana Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
description	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-preinvexfunctions 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.
author	Kashuri,Artion Liko,Rozana
author_facet	Kashuri,Artion Liko,Rozana
author_sort	Kashuri,Artion
title	Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
title_short	Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
title_full	Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
title_fullStr	Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
title_full_unstemmed	Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
title_sort	generalizations of hermite-hadamard and ostrowski type inequalities for mtm-preinvex functions
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100004
work_keys_str_mv	AT kashuriartion generalizationsofhermitehadamardandostrowskitypeinequalitiesformtmpreinvexfunctions AT likorozana generalizationsofhermitehadamardandostrowskitypeinequalitiesformtmpreinvexfunctions
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Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions

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