Diferencies ente revisiones de «Cálculu de variaciones»
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m iguo testu: estrema => divide (inglés) |
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<!-- ==Weak and strong
A functional <math>J(f)\,</math> defined on some appropriate space of functions <math>V</math> with norm <math>\|\cdot\|_V</math> is said to have a '''weak minimum''' at the function <math>f_0</math> if there exists some <math>\delta > 0</math> such that, for all functions <math>f</math> with <math>\|f - f_0\|_V < \delta</math>,
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A functional <math>J</math> is said to have a '''strong minimum''' at <math>f_0</math> if there exists some <math>\delta > 0</math> such that, for all functions <math>f \neq f_0</math> with <math>\|f - f_0\|_{\infty} < \delta</math>, <math>J(f_0) < J(f)</math>. '''Strong maximum''' is defined similarly, but with the inequality in the last equation reversed.
The difference between strong and weak
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