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An analogue of problem 26 of P. Turán

Published online by Cambridge University Press:  17 April 2009

Y. G. Shi
Y. G. Shi
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, PO Box 2719, Beijing, China 100080
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Explicit formulas for Cotes numbers of the Gaussian Hermite quadrature formula based on the zeros of the nth Chebyshev polynomial of the second kind and their asymptotic behaviour as n → ∞ are given. This provides an answer to an analogue of Problem 26 of Tur´n.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 1 , February 1996 , pp. 1 - 12
Copyright
Copyright © Australian Mathematical Society 1996

References

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