Geodesic
A short proof of Hölder's inequality using Cauchy-Schwarz inequality
The Teaching of Mathematics, XXII (2019) no. 2, p. 58 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The aim of this note is a to give a new and short proof that the Hölder inequality is implied by the Cauchy-Schwarz inequality.
Classification : 97H30 : H35
Keywords: Young's inequality, Cauchy-Schwarz inequality, Hölder's inequality. 
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     author = {Mohamed Akkouchi},
     title = {A short proof of {H\"older's} inequality using {Cauchy-Schwarz} inequality},
     journal = {The Teaching of Mathematics},
     pages = {58 },
     publisher = {mathdoc},
     volume = {XXII},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2019_XXII_2_a2/}
}
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Mohamed Akkouchi. A short proof of Hölder's inequality using Cauchy-Schwarz inequality. The Teaching of Mathematics, XXII (2019) no. 2, p. 58 . http://geodesic.mathdoc.fr/item/TM2_2019_XXII_2_a2/