Übersetzung für 'Weierstrass M-test' von Englisch nach Deutsch

Weierstrass M-test

weierstraßscher M-Test {m}math.

• There is an analogue of the comparison test for infinite series of functions called the Weierstrass M-test.
• In mathematics, the Weierstrass M-test is a test for determining whether an infinite series of functions converges uniformly and absolutely.
• , this function is easily seen to be of class C∞, by a standard inductive application of the Weierstrass M-test to demonstrate uniform convergence of each series of derivatives.
• This only provides a partial explanation of the Gibbs phenomenon, since Fourier series with absolutely convergent Fourier coefficients would be uniformly convergent by the Weierstrass M-test and would thus be unable to exhibit the above oscillatory behavior.
• The series expansion of the exponential function can be shown to be uniformly convergent on any bounded subset [...] using the Weierstrass M-test.

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• One can prove by calculus that for [...] and [...] , we have [...]. By Weierstrass M-test, [...] converges uniformly on [...].