This article is cited in 1 paper

Multidimensional piecewise polynomial approximation on classes of functions with a dominant mixed derivative

V. E. Maiorov


Abstract: In this paper is presented an $n$-parameter method of approximation, by piecewise polynomial functions, on classes $H_p^r$ of functions with a dominant mixed derivative. The method can be used to obtain a best possible estimate in the “power scale” of the $\varepsilon$-entropy of the class $H_p^r$ in the space $L_q$.
Bibliography: 12 titles.

UDC: 517.51

MSC: 41A10, 41A63, 41A45

Received: 11.04.1974

 English version: Mathematics of the USSR-Sbornik, 1975, 27:2, 269–288

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