Freud’s Work in Constructive Function Theory
نویسندگان
چکیده
These were not the first estimates for E,* but they were the cleanest. Only a year earlier, Lebesguc had given estimates for approximation by the nth Fourier sums; but the latter contain logarithms which are absent in (3). As natural as (3) seems, there is still the question whether it is in some sense best possible. Bernstein [2] showed that this is the case, in at least two different ways. He gave examples of functions f e.g., f(t) = (cos tl, for which (3) can be reversed. In another vein, he showed that for 0 <a < 1, 32 0021-9045/86$3.00
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