Electronic Resource
Springer
Constructive approximation
11 (1995), S. 321-329
ISSN:
1432-0940
Keywords:
30B70
;
40A15
;
Continued fractions
;
Convergence regions
;
Separation results
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We prove that the oval convergence theorem for continued fractionsK(a n /1) follows from the uniform parabola theorem and from the uniform limacon theorem. Thus we are able to deduce that the ovals are uniform convergence regions and give estimates for the speed of convergence. Certain separation properties of the ovals are also established.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01208558
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