On orthorecursive expansions with errors in the calculation of coefficientsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:We study orthorecursive expansions with errors in the calculation of coefficients. We prove that if a system of elements in a space with scalar product satisfies certain requirements, then the orthorecursive expansion with respect to this system is absolutely stable under a large class of relative and absolute numerical errors. It is also stable under small perturbations of the system.