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Some remarks on nearness problems for continued fraction expansions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1406)

Abstract

In some cases “nearness” between functions implies “nearness” between their possible continued fraction expansions of some type. This of course depends strongly upon the way “nearness” between functions is defined, but also upon the choice of function to be “near”. The present note is a brief, informal and example-based discussion of this matter.

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References

  1. L. Jacobsen and H. Waadeland, A result on nearness of functions and their regular C-fraction expansions, Proc. of the Amer. Math. Soc. 105 4 (1989).

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  4. O. Njåstad and H. Waadeland, Strongly bounded functions and corresponding PC-fractions, (to appear).

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© 1989 Springer-Verlag

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Njåstad, O., Waadeland, H. (1989). Some remarks on nearness problems for continued fraction expansions. In: Jacobsen, L. (eds) Analytic Theory of Continued Fractions III. Lecture Notes in Mathematics, vol 1406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096169

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  • DOI: https://doi.org/10.1007/BFb0096169

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51830-3

  • Online ISBN: 978-3-540-46820-2

  • eBook Packages: Springer Book Archive