Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions

Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions

Abstract In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of H...

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Auteurs principaux: Kashuri,Artion, Liko,Rozana
Langue:English
Publié: Universidad Católica del Norte, Departamento de Matemáticas 2017
Sujets:
Hermite-Hadamard type inequality
Hölder's inequality
Minkowski's inequality
Cauchy's inequality
power mean inequality
Riemann-Liouville fractional integral
s-convex function in the second sense
m-invex
P -function.
Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400711
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spelling oai:scielo:S0716-091720170004007112018-01-08Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functionsKashuri,ArtionLiko,Rozana Hermite-Hadamard type inequality Hölder's inequality Minkowski's inequality Cauchy's inequality power mean inequality Riemann-Liouville fractional integral s-convex function in the second sense m-invex P -function. Abstract In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized beta (r, g)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see (1), (2)), but also provide new estimates on these types.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.4 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400711en10.4067/S0716-09172017000400711
institution Scielo Chile
collection Scielo Chile
language English
topic Hermite-Hadamard type inequality
Hölder's inequality
Minkowski's inequality
Cauchy's inequality
power mean inequality
Riemann-Liouville fractional integral
s-convex function in the second sense
m-invex
P -function.
spellingShingle Hermite-Hadamard type inequality
Hölder's inequality
Minkowski's inequality
Cauchy's inequality
power mean inequality
Riemann-Liouville fractional integral
s-convex function in the second sense
m-invex
P -function.
Kashuri,Artion
Liko,Rozana
Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
description Abstract In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized beta (r, g)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see (1), (2)), but also provide new estimates on these types.
author Kashuri,Artion
Liko,Rozana
author_facet Kashuri,Artion
Liko,Rozana
author_sort Kashuri,Artion
title Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
title_short Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
title_full Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
title_fullStr Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
title_full_unstemmed Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
title_sort hermite-hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400711
work_keys_str_mv AT kashuriartion hermitehadamardtypefractionalintegralinequalitiesforgeneralizedbetargpreinvexfunctions
AT likorozana hermitehadamardtypefractionalintegralinequalitiesforgeneralizedbetargpreinvexfunctions
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