Some refinements to Hölder’s inequality and applications

Some refinements to Hölder’s inequality and applications

Abstract We establish some new refinements to the Hölder inequality. We then apply them to provide some refinements to the extended Euler’s gamma and beta functions. As another application of our results, we give a new proof of the equivalence between the Hölder inequality and the Cauchy-...

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Autores principales: Akkouchi,Mohamed, Ighachane,Mohamed Amine
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:
Inequalities
Young’s inequality
Cauchy-Schwarz inequality
Inequalities for extended Beta and Gamma functions
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100153
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spelling oai:scielo:S0716-091720200001001532020-02-18Some refinements to Hölder’s inequality and applicationsAkkouchi,MohamedIghachane,Mohamed Amine Inequalities Young’s inequality Cauchy-Schwarz inequality Inequalities for extended Beta and Gamma functions Abstract We establish some new refinements to the Hölder inequality. We then apply them to provide some refinements to the extended Euler’s gamma and beta functions. As another application of our results, we give a new proof of the equivalence between the Hölder inequality and the Cauchy-Schwarz inequality.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=S0716-09172020000100153en10.22199/issn.0717-6279-2020-01-0010
institution Scielo Chile
collection Scielo Chile
language English
topic Inequalities
Young’s inequality
Cauchy-Schwarz inequality
Inequalities for extended Beta and Gamma functions
spellingShingle Inequalities
Young’s inequality
Cauchy-Schwarz inequality
Inequalities for extended Beta and Gamma functions
Akkouchi,Mohamed
Ighachane,Mohamed Amine
Some refinements to Hölder’s inequality and applications
description Abstract We establish some new refinements to the Hölder inequality. We then apply them to provide some refinements to the extended Euler’s gamma and beta functions. As another application of our results, we give a new proof of the equivalence between the Hölder inequality and the Cauchy-Schwarz inequality.
author Akkouchi,Mohamed
Ighachane,Mohamed Amine
author_facet Akkouchi,Mohamed
Ighachane,Mohamed Amine
author_sort Akkouchi,Mohamed
title Some refinements to Hölder’s inequality and applications
title_short Some refinements to Hölder’s inequality and applications
title_full Some refinements to Hölder’s inequality and applications
title_fullStr Some refinements to Hölder’s inequality and applications
title_full_unstemmed Some refinements to Hölder’s inequality and applications
title_sort some refinements to hölder’s inequality and applications
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100153
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