International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 33, Pages 2083-2095
doi:10.1155/S0161171203211091
Mean convergence of Grünwald interpolation operators
Zhixiong Chen
Department of Mathematics, University of Connecticut, Storrs 06269, CT, USA
Abstract
We investigate weighted Lp mean convergence of Grünwald interpolation operators based on the zeros of orthogonal polynomials with respect to a general weight and generalized Jacobi weights. We give necessary and sufficient conditions for such convergence for all continuous functions.