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- W1998664037 abstract "Let E n denote the set of exponential sums of degree ⩽ n . According to D. Braess the maximal number of local best approximations in E n , n ⩾ 4, is at most 3 2 (n − 1)! . It is proven that the asymptotic growth of this bound is correct by constructing functions which have at least max { 1 2 n 2 − 3 2 n + 3, 2 ( 2 3 )n 5 √n} different local solutions in E n , n ⩾ 4. Moreover, examples are given of functions with at least six local solutions in E 4 and exactly three global solutions in E 3 ." @default.
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- W1998664037 date "1982-03-01" @default.
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- W1998664037 title "On the number of local best approximations by exponential sums" @default.
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- W1998664037 doi "https://doi.org/10.1016/0021-9045(82)90020-x" @default.
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