TY - JOUR A2 - Gao, X.-L. AU - Tunc, T. AU - Kucukaslan, M. PY - 2011 DA - 2011/10/20 TI - On the Asymptotic Behavior of p-Faber Polynomials for Domains with Piecewise Analytic Boundary SP - 263657 VL - 2011 AB - Let G be a domain bounded by a piecewise analytic Jordan's curve L, and let Fn,p denote the p-Faber polynomials associated with G. Wederive estimates of the form Fn,p(z)=O(1/nη), (n) for zG, whereη depends on geometric properties of L and the parameter p. Also, we show that O cannot be replaced by o in the relation given above. SN - null UR - https://doi.org/10.5402/2011/263657 DO - 10.5402/2011/263657 JF - ISRN Applied Mathematics PB - International Scholarly Research Network KW - ER -