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A constructive proof of convergence of the even approximants of positive PC-fractions

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Publication:584450
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DOI10.1216/RMJ-1989-19-1-199zbMath0693.30031OpenAlexW2033841530MaRDI QIDQ584450

W. J. Thron, William B. Jones

Publication date: 1989

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1989-19-1-199


Mathematics Subject Classification ID

Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)


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A survey of truncation error analysis for Padé and continued fraction approximants, Survey article: continued fractions associated with Wiener-Levinson filters, frequency analysis, moment theory and polynomials orthogonal on the unit circle, Convergence of PPC-continued fraction approximants in frequency analysis, Szegő polynomials applied to frequency analysis, Applications of Szegö polynomials to digital signal processing



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