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. 
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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     journal = {Matemati\v{c}eskie zametki},
     pages = {466--476},
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