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Some refinements to Hölder’s inequality and applications

dc.creatorAkkouchi, Mohamed
dc.creatorIghachane, Mohamed Amine
dc.date2020-02-04
dc.date.accessioned2020-02-05T12:59:09Z
dc.date.available2020-02-05T12:59:09Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3983
dc.identifier10.22199/issn.0717-6279-2020-01-0010
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/123601
dc.descriptionWe 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/article/view/3983/3336
dc.rightsCopyright (c) 2020 Mohamed Akkouchi, Mohamed Amine Ighachaneen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol 39 No 1 (2020); 153-166en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 153-166es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectInequalitiesen-US
dc.subjectYoung’s inequalityen-US
dc.subjectCauchy-Schwarz inequalityen-US
dc.subjectInequalities for extended Beta and Gamma functionsen-US
dc.subject26D15en-US
dc.subjectInequalities for sums, series and integralsen-US
dc.subject33B15en-US
dc.subjectGamma, beta and polygamma functionsen-US
dc.subject33B99en-US
dc.subjectNone of the above, but in this sectionen-US
dc.titleSome refinements to Hölder’s inequality and applicationsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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