Simultaneous rational approximation of a function and its derivatives in the complex plane

DOI10.1016/0021-9045(85)90092-9zbMath0583.41018OpenAlexW2077459509MaRDI QIDQ1070141

A. L. Levin, Doron S. Lubinsky

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90092-9

zbMATH Keywords

simultaneous rational approximationsimultaneous best approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Approximation by polynomials (41A10) Simultaneous approximation (41A28)

Cites Work

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• Nonuniqueness of simultaneous approximation by algebraic polynomials
• The Padé table of functions having a finite number of essential singularities
• Rational interpolation and best rational approximation
• ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENTS OF FUNCTIONS MEROMORPHIC IN DOMAINS WITH A SMOOTH BOUNDARY
• RATIONAL APPROXIMATIONS OF HOLOMORPHIC FUNCTIONS WITH SINGULARITIES OF FINITE ORDER
• Simultaneous Approximation of a Function and Its Derivatives
• Regions of Meromorphy Determined by the Degree of Best Rational Approximation
• Chebyshev Approximations of a Function and Its Derivatives

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