Transactions of the American Mathematical Society, Vol. 361, No. 4 (Apr., 2009), pp. 1765-1790 (26 pages) We provide two methods for constructing smooth bump functions and for smoothly cutting off ...
We prove the curse of dimensionality for multivariate integration of Cr functions: The number of needed function values to achieve an error 𝜖 is larger than Cr(1 ...
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