ON SET {N_k~-(x)}_k~n=0

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Suppose that C is the complex plane and k is a non-negative integer.Define functions Nk-(x)=|x|k if k is even and Nk(x)=x|x|k-1 if k is odd.Some approximation properties of Nk-(x)’s is discussed and a new example of a Tchebycheff system is given out.
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