A class of element and value regions for continued fractions

W.B. Jones and W.J. Thron, Continued fractions, Analytic Theory and Applications, Encyclopedia of Mathematics and Its Applications No. 11 Addison Wesley, Reading, Mass., 1980.
MATH Google Scholar
Marius Overholt, Om visse simple elementomrader for kjedebröker. Thesis (in Norwegian) for the degree cand. real, Universitetet i Trondheim, Matematisk Institutt, NLHT 1981.
Google Scholar
W.T. Scott and H.S. Wall, A convergence theorem for continued fractions, Trans. Amer. Math. Soc. 47 (1940), 155–172.
Article MathSciNet MATH Google Scholar
T.L. Hayden, Continued fraction approximation to functions, Numer. Math. 7 (1965), 292–309.
Article MathSciNet MATH Google Scholar
F.A. Roach, Boundedness of value regions and convergence of continued fractions, Proc. Amer. Math. Soc. 62 (1977), 299–304.
Article MathSciNet MATH Google Scholar

Download references

Author information

Marius Overholt
Present address: Matematikk Rogaland Distriktshögskole, 4000, Stavanger, Norway

Authors and Affiliations

Authors

Marius Overholt
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

William B. Jones W. J. Thron Haakon Waadeland

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Overholt, M. (1982). A class of element and value regions for continued fractions. In: Jones, W.B., Thron, W.J., Waadeland, H. (eds) Analytic Theory of Continued Fractions. Lecture Notes in Mathematics, vol 932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093314

Download citation

DOI: https://doi.org/10.1007/BFb0093314
Published: 12 October 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11567-0
Online ISBN: 978-3-540-39276-7
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

A class of element and value regions for continued fractions

Access this chapter

Preview

References