Weighted anisotropic integral representations of holomorphic functions in the unit ball of .
Karapetyan, Arman (2010)
Abstract and Applied Analysis
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Karapetyan, Arman (2010)
Abstract and Applied Analysis
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Ganatsiou, C. (2001)
International Journal of Mathematics and Mathematical Sciences
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Sinclair, Christopher D. (2004)
International Journal of Mathematics and Mathematical Sciences
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De Malafosse, Bruno (2003)
International Journal of Mathematics and Mathematical Sciences
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Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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De Malafosse, Bruno (2004)
International Journal of Mathematics and Mathematical Sciences
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de Malafosse, Bruno (2003)
Rendiconti del Seminario Matematico
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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.
Octavian Agratini (2010)
Open Mathematics
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This paper is concerned with a generalization in q-Calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.