Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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.
Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Charles A Micchelli
Journal of Approximation Theory
Sankar Basu
Journal of the Franklin Institute
A.R. Gourlay, G. Kaye, et al.
Proceedings of SPIE 1989