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Sobolev space and Uniform norm

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Sobolev space and Uniform norm

Sobolev space vs. Uniform norm

In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function itself and its derivatives up to a given order. In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions f defined on a set S the non-negative number This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. The name "uniform norm" derives from the fact that a sequence of functions \ converges to f under the metric derived from the uniform norm if and only if f_n converges to f uniformly.

Similarities between Sobolev space and Uniform norm

Sobolev space and Uniform norm have 1 thing in common (in Unionpedia): Continuous function.

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Continuous function and Sobolev space · Continuous function and Uniform norm · See more »

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Sobolev space and Uniform norm Comparison

Sobolev space has 67 relations, while Uniform norm has 20. As they have in common 1, the Jaccard index is 1.15% = 1 / (67 + 20).

References

This article shows the relationship between Sobolev space and Uniform norm. To access each article from which the information was extracted, please visit:

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