On the continuity of rational approximation operators

DOI10.1007/BF00264465zbMath0151.06601MaRDI QIDQ2525365

E. W. Cheney, Henry L. Loeb

Publication date: 1966

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

approximation and series expansion

Related Items (19)

Discrete approximations of minimization problems. II. Applications ⋮ Convergence of discrete rational approximations ⋮ Continuous dependence in rational Chebyshev approximation ⋮ The convergence and continuity of rational functions closely related to Padé approximants ⋮ The convergence and continuity of rational functions closely related to Padé approximants ⋮ On the unicity of nonlinear approximation in smooth spaces ⋮ ON CONVERGENCE IN DISCRETIZED MINIMIZATION PROBLEMS^* ⋮ Alternating Chebyshev Approximation ⋮ Die Bedeutung der Normalität bei rationaler Tschebyscheff-Approximation ⋮ Nearby Chebyshev (powered) rational approximation ⋮ Mean-square approximation by generalized rational functions ⋮ Approximative Kompaktheit verallgemeinerter rationaler Funktionen ⋮ On the convergence in measure of non-linear Chebyshev approximations ⋮ On discretization in generalized rational approximation ⋮ Uniform rational approximation with osculatory interpolation ⋮ Über rationale Tschebyscheff-Approximation mehrerer Funktionen ⋮ Stability of best rational Chebyshev approximation ⋮ An extension of strong uniqueness to rational approximation ⋮ Continuity of the varisolvent Chebyshev operator

Cites Work

• Über die Eindeutigkeit der rationalen Tschebyscheff-Approximationen
• Tschebyscheff-Approximationen in kleinen Intervallen. I; II: Stetigkeitssätze für gebrochen rationale Approximationen
• On the rational Tschebyscheff operator
• Generalized Rational Approximation

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