Matrix interpretation of formal orthogonal polynomials for non-definite functionals

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摘要

Matrix relations for orthogonal polynomials associated to a non-definite linear functional c are found. In addition, the reproducing kernels for the functional c are introduced and the coefficients of the Gaussian quadrature formulas for the functional c are also calculated by means of a procedure similar to that developed by Brezinski for definite functionals.

论文关键词:Formal orthogonal polynomials,non-definite functionals,discrete orthogonality,reproducing kernel,Gaussian formulas

论文评审过程:Received 25 March 1985, Revised 7 August 1986, Available online 22 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(87)90001-X