On the sensitivity of orthogonal polynomials to perturbations in the moments
Modification of the moments of a positive weight distribution enables to determine the recursive coefficients of polynomials orthogonal to the given distribution uniquely. The sensitivity of the underlying nonlinear maps with regard to perturbations in the modified moments is analyzed, and pertinent descriptive concepts are introduced. Especially, weight moments of Chebyshev and Jacobi type are discussed.
scientific article; zbMATH DE number 3992773