This article is cited in 1 paper

On the error made in recovering functions of a certain class on parallelepiped-type grids

Yu. N. Shakhov

Moscow Pedagogic Institute, USSR

Abstract: We derive (according to the number of tabular nodes) an asymptotic upper bound to the recovery error made on a class of functions of several variables whose mixed derivative is periodic in each variable and satisfies a multiple Lipschitz condition. As the tabular nodes we consider the vertices of a parallelepiped-type grid constructed with optimal coefficients.

UDC: 511

Received: 24.01.1973

 English version: Mathematical Notes, 1974, 15:5, 448–452

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