Weighted approximation for Erdos weight

["Approximation theory", "Polynomials"]

Damelin, Steven Benjamin

University of the Witwatersrand

Others  :  http://wiredspace.wits.ac.za/bitstream/10539/21611/1/Damelin%20Steven%20Benjamin._Weighted%20approximation%20fo.pdf

瑞士|英语

来源: University of the Witwatersrand

【 摘 要 】

We investigate Mean Convergence of Lagrange Interpolation and Rates of Approximationfor Erdo's Weights on the Real line. An Erdos Weight is of the form, W = exp[-Q], where typically Q is even, continous and is of faster than polynomial growth at infinity.Concerning Lagrange Interpolation, we first investigate the problem of formulating and proving the correct Jackson Theorems for Erdos Weights. [ Abbreviated abstract : Open document to view full version]