On exact rate of convergence of row sequences of multipoint Hermite-Padé approximants

DOI10.1515/dema-2023-0140OpenAlexW4391827125MaRDI QIDQ6190324

Nattapong Bosuwan

Publication date: 5 March 2024

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2023-0140

zbMATH Keywords

multipoint Padé approximationsimultaneous approximationHermite-Padé approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Simultaneous approximation (41A28)

Cites Work

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• Direct and inverse results on row sequences of Hermite-Padé approximants
• Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants
• Convergence of row sequences of simultaneous Padé-orthogonal approximants
• Inverse results on row sequences of Hermite-Padé approximation
• Determining system poles using row sequences of orthogonal Hermite-Padé approximants
• Direct and inverse results for multipoint Hermite-Padé approximants
• Direct and inverse results on row sequences of simultaneous Padé-Faber approximants
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• POLES OF ROWS OF THE PADÉ TABLE AND MEROMORPHIC CONTINUATION OF FUNCTIONS
• ON ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENT OF A MEROMORPHIC FUNCTION
• ON THE CONVERGENCE OF RATIONAL APPROXIMATIONS TO POLYNOMIAL EXPANSIONS IN DOMAINS OF MEROMORPHY OF A GIVEN FUNCTION
• Higher order recurrences and row sequences of Hermite–Padé approximation

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