Geodesic
Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 258-266 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain order estimates for the best approximation in the uniform metric of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ by trigonometric polynomials with the “indices” of harmonics from step hyperbolic crosses.
Keywords: best approximation, step hyperbolic cross, mixed smoothness, uniform metric. 
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S. A. Stasyuk. Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 258-266. http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a22/

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