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A Priori Truncation Error Estimates for Stieltjes Fractions

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E. B. Christoffel

Abstract

Stieltjes fractions are here studied in the form K(a n z/1), a n > 0, n ≥ 1. They provide expansions for many useful functions and have integral representations

$$ \int\limits_0^\infty {\frac{{zd\psi (t)}}{{1 + zt}}} $$

.

This research was in part supported by the United States National Science Foundation under grant No. MCS 78-02152.

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References

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© 1981 Springer Basel AG

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Thron, W.J. (1981). A Priori Truncation Error Estimates for Stieltjes Fractions. In: Butzer, P.L., Fehér, F. (eds) E. B. Christoffel. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5452-8_12

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  • DOI: https://doi.org/10.1007/978-3-0348-5452-8_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5453-5

  • Online ISBN: 978-3-0348-5452-8

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