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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

AKKOUCHI, Mohamed  and  IGHACHANE, Mohamed Amine. Some refinements to Hölder’s inequality and applications. Proyecciones (Antofagasta) [online]. 2020, vol.39, n.1, pp.153-166. ISSN 0716-0917.  http://dx.doi.org/10.22199/issn.0717-6279-2020-01-0010.

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.

Keywords : Inequalities; Young’s inequality; Cauchy-Schwarz inequality; Inequalities for extended Beta and Gamma functions.

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