@inbook{10.4169/j.ctt5hh8cf.14,
ISBN = {9780883851357},
URL = {http://www.jstor.org/stable/10.4169/j.ctt5hh8cf.14},
abstract = {The question of the convergence of series of orthogonal polynomials under the most general hypotheses, as might be anticipated, is one of great complexity. A considerable part of the theory of convergence developed for Fourier series in the first chapter, or for Legendre series in the second, can however be extended with little additional difficulty to orthogonal polynomials corresponding to various weight functions on a finite intervalif the polynomials of the orthonormal set are bounded as n becomes infinite,i.e., if there is a constantH, independent ofn, such that$\left| {{p_n}(x)} \right|\underline \leqslant H$for all values ofn, either at},
bookauthor = {DUNHAM JACKSON},
booktitle = {Fourier Series and Orthogonal Polynomials},
edition = {1},
pages = {191--208},
publisher = {Mathematical Association of America},
title = {CONVERGENCE},
volume = {6},
year = {1941}
}