Geodesic
Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$
Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 108-121

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We obtain order-sharp estimates of best approximation for the classes $B^\Omega_{p,\theta}$ of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function $\Omega(t)$.
Keywords: periodic function of several variables, trigonometric polynomial, level surface, Bari–Stechkin condition, modulus of continuity, Hölder'd inequality.
Mots-clés : Vallée-Poussin kernel 
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     author = {S. A. Stasyuk},
     title = {Best {Approximations} of {Periodic} {Functions} of {Several} {Variables} from the {Classes} $B^\Omega_{p,\theta}$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {108--121},
     publisher = {mathdoc},
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     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a11/}
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S. A. Stasyuk. Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$. Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 108-121. http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a11/