Convergence conditions for vector Stieltjes continued fractions

DOI10.1006/jath.2001.3653zbMath0992.40003OpenAlexW2169730127MaRDI QIDQ1599255

Mirta Castro Smirnova

Publication date: 10 September 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b2ce440fc8cb4887a943334bfc2bb3c712aecff9

zbMATH Keywords

convergencecontinued fractionsgeneralized continued fractionsvector Stieltjes fractions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Difference operators (39A70) Convergence and divergence of continued fractions (40A15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• Completely integrable nonlinear dynamical systems of the Langmuir chains type
• Convergence of vector Stieltjes continued fractions.
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• THE JACOBI-PERRON ALGORITHM AND SIMULTANEOUS APPROXIMATION OF FUNCTIONS
• The modified algorithm of Jacobi-Perron

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