Abstract
Let W : R ! (0;1) be continuous. Does W admit a classical Jackson Theorem? That is, does there exist a sequence f ngn=1 of positive numbers with limit 0 such that for 1 p 1, inf deg(P ) n k(f P )WkLp(R) nkf WkLp(R) for all absolutely continuous f with kf WkLp(R) nite? We show that such a theorem is true i¤ both
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