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/