Abstract
With the aid of the extension of the energy space, the synthesis method is interpreted in two ways: as the best approximation method and as the Galerkin-Petrov method in a new space. For elliptic problems one considers the problem of estimating the convergence rate of the mentioned method in norms which are generalizations of the Sobolev and Holder norms.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 70, pp. 19–48, 1977.
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Dem'yanovich, Y.K. Foundation of the synthesis method. J Math Sci 23, 1885–1908 (1983). https://doi.org/10.1007/BF01093273
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DOI: https://doi.org/10.1007/BF01093273