Resumen de Some refinements to Hölder’s inequality and applications

Mohamed Akkouchi, Mohamed Amine Ighachane

• 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.