A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements.
Volodin, A., Antonini, Giuliano R., Hu, T.-C. (2004)
Lobachevskii Journal of Mathematics
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Volodin, A., Antonini, Giuliano R., Hu, T.-C. (2004)
Lobachevskii Journal of Mathematics
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Hu, T.-C., Ordóñez Cabrera, M., Sung, S.H., Volodin, A.I. (2002)
Lobachevskii Journal of Mathematics
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Lobachevskii Journal of Mathematics
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Southwest Journal of Pure and Applied Mathematics [electronic only]
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Open Mathematics
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In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Martikainen, A.I. (2004)
Zapiski Nauchnykh Seminarov POMI
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Annales Mathematicae et Informaticae
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Matematički Vesnik
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Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The aim of this article is to provide the local convergence analysis of two novel competing sixth convergence order methods for solving equations involving Banach space valued operators. Earlier studies have used hypotheses reaching up to the sixth derivative but only the first derivative appears in these methods. These hypotheses limit the applicability of the methods. That is why we are motivated to present convergence analysis based only on the first derivative. Numerical examples...
S. V. Konyagin (2004)
Banach Center Publications
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Acta Arithmetica
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Southwest Journal of Pure and Applied Mathematics [electronic only]
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Annales Polonici Mathematici
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