Friedrichs' inequality

（重定向自Friedrichs inequality）

In mathematics, Friedrichs' inequality is a theorem of functional analysis, due to Kurt Friedrichs. It places a bound on the L norm of a function using L bounds on the weak derivatives of the function and the geometry of the domain, and can be used to show that certain norms on Sobolev spaces are equivalent. Friedrichs' inequality is a general case of the Poincaré–Wirtinger inequality which deals with the case $k=1$ .

单词	Friedrichs inequality
释义	Friedrichs inequality 英语百科 Friedrichs' inequality （重定向自Friedrichs inequality） In mathematics, Friedrichs' inequality is a theorem of functional analysis, due to Kurt Friedrichs. It places a bound on the L norm of a function using L bounds on the weak derivatives of the function and the geometry of the domain, and can be used to show that certain norms on Sobolev spaces are equivalent. Friedrichs' inequality is a general case of the Poincaré–Wirtinger inequality which deals with the case $k=1$ .
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