Convergence of iterative algorithms to common random fixed points of random operators.
Beg, Ismat, Abbas, Mujahid (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Beg, Ismat, Abbas, Mujahid (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Beg, Ismat, Abbas, Mujahid (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Plubtieng, Somyot, Kumam, Poom, Wangkeeree, Rabian (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Plubtieng, Somyot, Kumam, Poom, Wangkeeree, Rabian (2007)
International Journal of Mathematics and Mathematical Sciences
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Su, Zhonggen (2006)
Electronic Journal of Probability [electronic only]
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Choudhury, Binayak S. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Löwe, Matthias, Matzinger, Heinrich, Merkl, Franz (2004)
Electronic Journal of Probability [electronic only]
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Angel, Omer, Benjamini, Itai, Virág, Bálint (2003)
Electronic Communications in Probability [electronic only]
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Mi Zhou, George A. Anastassiou (1996)
Annales Polonici Mathematici
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Some general representation formulae for (C₀) m-parameter operator semigroups with rates of convergence are obtained by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C₀) one- and m-parameter operator semigroups as special cases. When we consider special semigroups we recover well-known convergence theorems for multivariate approximation operators.
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.