Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
Given a nonnegative function f(x), M. W. Wilson observed that if Formula Presented then the polynomials Pn(x), Pn(0) = 1, orthogonal relative to f(x)dμ(x), have an expansion Formula Presented with nonnegative coefficients akn ≥ 0 where Qn(x), Qn(0) =1, are orthogonal relative to dμ(x). Recently it was shown that (1) holds for f(x) = xc, 0 < c > 1. In this paper we characterize those functions f(x) for which (1) is valid for all positive measures dμ(x). © 1978 American Mathematical Society.
Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Charles Micchelli
Journal of Approximation Theory
D.S. Turaga, K. Ratakonda, et al.
SCC 2006