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Stability of Interpolation on an Infinite Interval

Published online by Cambridge University Press:  20 November 2018

R.B. Saxena
R.B. Saxena*
Affiliation:
University of Alberta, Edmonton, Canada and Lucknow University, Lucknow, India
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In 1958, Egerváry and Turán [3] proposed and solved the problem of finding a stable interpolation process of minimal degree on a finite interval. Later [4] they investigated the same problem for an infinite interval with a suitable modification of the definition of stability. For the interval (-∞, ∞) their definition naturally differs from the one for the semi-infinite interval.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 5 , December 1966 , pp. 655 - 666
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Balázs, J., Remarks on the stability of interpolation, Math. Lapok., 11 (1960), pages 280-293.Google Scholar
2. Balázs, J. and Turán, P., Notes on interpolation VII. Acta Math. Acad. Sei. Hung., 10 (1959), pages 63-68.Google Scholar
3. Egerváry, E. and Turán, P., Notes on interpolation V, Ibid 9, (1958), pages 259-267.Google Scholar
4. Egerváry, E. and Turán, P., Notes on interpolation VI, Ibid 10, (1959), pages 55-62.Google Scholar
5. Sharma, A., Remarks on quasi-Hermite-Fejér Interpolation. Canad. Math. Bull. 7, (1964), pages 101-119.Google Scholar
6. Szegö, G., Orthogonal polynomials. American Math. Soc. Coll. Second Edition, (1959).Google Scholar