Mathematics, 02.08.2019 17:10 animedragonking459

Prove the schwarz inequality (for any pair of functions):
|(f, g)|≤||f||⋅||g||.
(hint: consider the expression ||f+tg||2, where t is a scalar. this expression is a quadratic polynomial of t. find the value of t where it is a minimum. play around and the schwarz inequality will pop out.)

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Prove the schwarz inequality (for any pair of functions):
|(f, g)|≤||f||⋅||g||.
(hint:...

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Prove the schwarz inequality (for any pair of functions): |(f, g)|≤||f||⋅||g||. (hint: consider the expression ||f+tg||2, where t is a scalar. this expression is a quadratic polynomial of t. find the value of t where it is a minimum. play around and the schwarz inequality will pop out.)

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Another question on Mathematics

Prove the schwarz inequality (for any pair of functions):
|(f, g)|≤||f||⋅||g||.
(hint: consider the expression ||f+tg||2, where t is a scalar. this expression is a quadratic polynomial of t. find the value of t where it is a minimum. play around and the schwarz inequality will pop out.)