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单词 Weierstrass M-Test
释义

Weierstrass M-Test

Let be a Series of functions all defined for a set of values of . If there is aConvergent series of constants


such that


for all , then the series exhibits Absolute Convergence for each as well as Uniform Convergence in .

See also Absolute Convergence, Uniform Convergence


References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 301-303, 1985.


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