Abstract
Let I be either R or (–1, 1), and let W: I → (0, ∞). Assume that W2 is a weight. We study the quasi-interpolatory polynomial operators τl,n,m introduced by Mhaskar and Prestin, for Freud weights, Erdös weights, and the exponential weights on (–1, 1). We investigate boundedness of τl,n,m in weighted Lp spaces. We then use this result to show that for even exponetial weights (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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