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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Displaying similar documents to “Coefficients estimates for functions in .”
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.
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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.