An application of an inequality of J. M. Aldaz
The aim of this paper is a to give a new proof that H¨older inequality is implied by the Cauchy-Schwarz inequality. Our proof is short and is based on the use of an inequality obtained by J. M. Aldaz in the paper: A stability version of H¨older’s inequality, Journal of Mathematical Analysis and Applications, 343, 2(2008), 842–852.
Inequalities, Young’s inequality. Cauchy-Schwarz inequality. H¨older’s inequality
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