| Uniform Norm |
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| CATEGORIES ABOUT UNIFORM NORM | |
| functional analysis | |
| norms mathematics | |
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In Mathematical Analysis , the uniform Norm assigns to Real- or Complex -valued bounded functions ''f'' the nonnegative number | ||
| :<math>\x\ \infty | \max\{ x_1, \dots, x_n \}</math><!-- avoiding "\," should allow HTML display --> |
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| :<math>\lim {p Ightarrow\infty}\f\ P | \f\_\infty,</math> |
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| :<math>\f\ P | \left(\int_D \leftf
ight^p\,d\mu
ight)^{1/p}</math> |
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| :<math>d(f,g) | \f-g\_\infty</math> |
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| :<math>\lim {n Ightarrow\infty}\f N-f\ \infty | 0\,</math> |
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