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Interpolatory integration rules and orthogonal polynomials with varying weights (1992)

Bloom, T. ; Lubinsky, D. S. ; Stahl, H.

Springer

Numerical algorithms 3 (1992), S. 55-65

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ISSN: 1572-9265

Keywords: Interpolatory integration rules ; convergent integration rules ; orthogonal polynomials ; varying weights ; equilibrium distribution

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract We investigate which types of asymptotic distributions can be generated by the knots of convergent sequences of interpolatory integration rules. It will turn out that the class of all possible distributions can be described exactly, and it will be shown that the zeros of polynomials that are orthogonal with respect to varying weight functions are good candidates for knots of integration rules with a prescribed asymptotic distribution.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02141915

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