Weighted approximation for Erdðs weights

Damelin, Steven Benjamin

University of the Witwatersrand

Others  :  http://wiredspace.wits.ac.za/bitstream/10539/22133/1/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 Erd5's Weights on the Real line.An Erdg's Weight is of the form, W : • expI-Q]' where typically Q is even,continuous and is of faster than polynomial growth at infinity.Concerning Lagrange Interpolation, we obtain necessaryand sufficient conditionsfor convergence in Lp (1::; p < 00) and in particular, sharp results for p > 4 and1