Premium
Orthogonalizing Weights of Tchebychev Sets of Polynomials
Author(s) -
Kwon Kil H.,
Kim Sung S.,
Han Sung S.
Publication year - 1992
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/24.4.361
Subject(s) - mathematics , orthogonal polynomials , polynomial , bounded function , bessel function , set (abstract data type) , bounded variation , pure mathematics , mathematical analysis , computer science , programming language
We characterize distributions with respect to which the members of a Tchebychev set of polynomials are orthogonal when they satisfy differential equations with polynomial coefficients. As an application, we find a real weight of bounded variation with support in [0, ∞) for Bessel polynomials.