Convergence region inclusion theorems for continued fractionsK(an/1)

Autor:	Lange, L. J.
Zdroj:	Constructive Approximation; September 1995, Vol. 11 Issue: 3 p321-329, 9p
Abstrakt:	We prove that the oval convergence theorem for continued fractionsK(an/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.
Databáze:	Supplemental Index
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