Geodesic
On Best Approximations by Analogs of ``Proper'' and ``Improper'' Hyperbolic Crosses
Matematičeskie zametki, Tome 93 (2013) no. 3, pp. 466-476.

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The exact approximation orders for the classes $H_q^\Omega$ are calculated for the case in which $\Omega(t)$ contains both power and logarithmic multipliers. For these classes, the exact orders of best approximation by analogs of “improper” hyperbolic crosses are also obtained.
Keywords: best approximation orders for the classes $H_q^\Omega$, hyperbolic cross, orthowidth, trigonometric polynomial, Nikolskii function class. 
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N. N. Pustovoitov. On Best Approximations by Analogs of ``Proper'' and ``Improper'' Hyperbolic Crosses. Matematičeskie zametki, Tome 93 (2013) no. 3, pp. 466-476. http://geodesic.mathdoc.fr/item/MZM_2013_93_3_a14/

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