On an approximation of function and its derivatives.
J. Prasad (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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J. Prasad (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Fernando Cobos (1988)
Colloquium Mathematicae
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P. L. Papini (1987)
Matematički Vesnik
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Jiři Močkoř (1975)
Colloquium Mathematicae
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Albert Cohen (2009)
Bollettino dell'Unione Matematica Italiana
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We discuss the performances of greedy algorithms for two problems of numerical approximation. The first one is the best approximation of an arbitrary function by an N-terms linear combination of simple functions adaptively picked within a large dictionary. The second one is the approximation of an arbitrary function by a piecewise polynomial function on an optimally adapted triangulation of cardinality N. Performance is measured in terms of convergence rate with respect to the number...
R. Taberski (1977)
Annales Polonici Mathematici
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R. B. Saxena (1962)
Annales Polonici Mathematici
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E. Tarnawski (1956)
Fundamenta Mathematicae
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Stéphane Lozier, Damien Roy (2012)
Acta Arithmetica
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Eve Oja (2010)
Banach Center Publications
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This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?