Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.
Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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De Malafosse, Bruno (2003)
International Journal of Mathematics and Mathematical Sciences
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Siegfried Graf, Harald Luschgy, Gilles Pagès (2008)
ESAIM: Probability and Statistics
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We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on and on the Wiener space.
Beg, Ismat, Abbas, Mujahid (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Babakhani, A., Enteghami, E. (2009)
Abstract and Applied Analysis
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De Malafosse, Bruno (2004)
International Journal of Mathematics and Mathematical Sciences
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Su, Zhonggen (2006)
Electronic Journal of Probability [electronic only]
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Ganatsiou, C. (2001)
International Journal of Mathematics and Mathematical Sciences
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