AbstractIt is known that under the hypotheses in Worpitzky's Theorem on continued fractions, the approximants converge to the value of the continued fraction with error O(1/n), and that this estimate is best possible. Using a geometric argument we give a more refined estimate of the rate of convergence. We also extend a result of Waadeland that is closely connected to Worpitzky's Theorem
In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set for...
s of the lectures L. Lorentzen Convergence of continued fractions In contrast to the title, the t...
Abstract: This paper studies the rate of convergence of purely periodic continued fractions, and giv...
AbstractGeneralizations of Worpitzky's convergence theorem for ordinary continued fractions are prov...
AbstractIt is known that under the hypotheses in Worpitzky's Theorem on continued fractions, the app...
AbstractWe improve a result of D. Knuth about the convergence of approximations of a continued fract...
For a branched continued fraction of a special form we propose the limit value set for the Worpitzky...
AbstractIn this paper we present a convergence theorem for continued fractions of the form Kn=1∞an/1...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Finally, this thesis uses dyna...
AbstractLet F be the family of continued fractionsK(ap/1), wherea1=−g1,ap=(1−gp−1)gpxp,p=2,3,…, with...
The purpose of this paper is to study convergence of certain continued fractions
This thesis contains the results of a new approach to the problem of finding sufficient conditions f...
AbstractThe first purpose of this work is to prove a convergence theorem for vector valued continued...
Basic concepts of simple continued fractions are introduced and some important theorems explored. Th...
AbstractIn this note we compare two recent methods of convergence acceleration for ordinary continue...
In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set for...
s of the lectures L. Lorentzen Convergence of continued fractions In contrast to the title, the t...
Abstract: This paper studies the rate of convergence of purely periodic continued fractions, and giv...
AbstractGeneralizations of Worpitzky's convergence theorem for ordinary continued fractions are prov...
AbstractIt is known that under the hypotheses in Worpitzky's Theorem on continued fractions, the app...
AbstractWe improve a result of D. Knuth about the convergence of approximations of a continued fract...
For a branched continued fraction of a special form we propose the limit value set for the Worpitzky...
AbstractIn this paper we present a convergence theorem for continued fractions of the form Kn=1∞an/1...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Finally, this thesis uses dyna...
AbstractLet F be the family of continued fractionsK(ap/1), wherea1=−g1,ap=(1−gp−1)gpxp,p=2,3,…, with...
The purpose of this paper is to study convergence of certain continued fractions
This thesis contains the results of a new approach to the problem of finding sufficient conditions f...
AbstractThe first purpose of this work is to prove a convergence theorem for vector valued continued...
Basic concepts of simple continued fractions are introduced and some important theorems explored. Th...
AbstractIn this note we compare two recent methods of convergence acceleration for ordinary continue...
In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set for...
s of the lectures L. Lorentzen Convergence of continued fractions In contrast to the title, the t...
Abstract: This paper studies the rate of convergence of purely periodic continued fractions, and giv...
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