Geodesic
Multidimensional piecewise polynomial approximation on classes of functions with a~dominant mixed derivative
Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 269-288

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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. 
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     author = {V. E. Maiorov},
     title = {Multidimensional piecewise polynomial approximation on classes of functions with a~dominant mixed derivative},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1975_27_2_a8/}
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V. E. Maiorov. Multidimensional piecewise polynomial approximation on classes of functions with a~dominant mixed derivative. Sbornik. Mathematics, Tome 27 (1975) no. 2, pp. 269-288. http://geodesic.mathdoc.fr/item/SM_1975_27_2_a8/