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Best Chebyshev rational approximants and poles of functions

Polynomial And Rational Approximation

Part of the Lecture Notes in Mathematics book series (LNM,volume 1237)

Abstract

In this work, a theorem relating to best rational Chebyshev approximants with an unbounded number of the free poles is proved. This theorem provides a sufficient condition that a given function has a pole at a given point.

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References

  1. N.I.Ahiezer, Approximation theory, Moskow, 1965, (Russian).

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© 1987 Springer-Verlag

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Kovačeva, R.K. (1987). Best Chebyshev rational approximants and poles of functions. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072456

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  • DOI: https://doi.org/10.1007/BFb0072456

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

  • eBook Packages: Springer Book Archive