Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions

Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions

Abstract A new class of MT (r;g,m,φ)- preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two MT (r;g,m,φ)- preinvex functions are given. Moreover, some generalizations of Hermit...

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Autores principales: Kashuri,Artion, Liko,Rozana
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:
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
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100219
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spelling oai:scielo:S0716-091720200001002192020-02-18Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- 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 A new class of MT (r;g,m,φ)- preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two MT (r;g,m,φ)- preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for products of two MT (r;g,m,φ)- preinvex functions via Riemann-Liouville fractional integrals are established. These general inequalities give us some new estimates for the left-hand side of Gauss-Jacobi type quadrature formula and Hermite-Hadamard type fractional integral inequalities. At the end, some conclusions and future research are given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100219en10.22199/issn.0717-6279-2020-01-0014
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 products of two MT (r;g,m,φ)- preinvex functions
description Abstract A new class of MT (r;g,m,φ)- preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two MT (r;g,m,φ)- preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for products of two MT (r;g,m,φ)- preinvex functions via Riemann-Liouville fractional integrals are established. These general inequalities give us some new estimates for the left-hand side of Gauss-Jacobi type quadrature formula and Hermite-Hadamard type fractional integral inequalities. At the end, some conclusions and future research are given.
author Kashuri,Artion
Liko,Rozana
author_facet Kashuri,Artion
Liko,Rozana
author_sort Kashuri,Artion
title Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions
title_short Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions
title_full Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions
title_fullStr Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions
title_full_unstemmed Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions
title_sort hermite-hadamard type fractional integral inequalities for products of two mt (r;g,m,φ)- preinvex functions
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100219
work_keys_str_mv AT kashuriartion hermitehadamardtypefractionalintegralinequalitiesforproductsoftwomtrgm966preinvexfunctions
AT likorozana hermitehadamardtypefractionalintegralinequalitiesforproductsoftwomtrgm966preinvexfunctions
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