Geodesic
The best approximation to the operator of the second mixed derivative
Izvestiya. Mathematics , Tome 62 (1998) no. 1, pp. 191-200.

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Accurate estimates are derived for the best approximation to the operator of the second mixed derivative on some classes of functions of two variables. These classes are defined by partial derivatives of the second and third orders. 
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O. A. Timoshin. The best approximation to the operator of the second mixed derivative. Izvestiya. Mathematics , Tome 62 (1998) no. 1, pp. 191-200. http://geodesic.mathdoc.fr/item/IM2_1998_62_1_a5/

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