Some refinements to Hölder’s inequality and applications
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-01-0010Keywords:
Inequalities, Young’s inequality, Cauchy-Schwarz inequality, Inequalities for extended Beta and Gamma functionsAbstract
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.
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