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A polynomial Pn is called fast decreasing if Pn(0)=1, and, on [−1,1], Pn decreases fast (in terms of n and the distance from 0) as we move away from the origin. This paper considers the version when Pn has to decrease only on some non-symmetric interval [−a,1] with possibly small a. In this case one gets a faster decrease, and this type of extension is needed in some problems, when symmetric fast...
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