Geodesic
Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 247-261

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We study best $M$-term trigonometric approximations and best orthogonal trigonometric approximations for the classes $B^r_{p,\theta}$ and $W^r_{p,\alpha}$ of periodic functions of several variables in the uniform metric.
Keywords: best trigonometric approximation, the classes $B^r_{p,\theta}$ and $W^r_{p,\alpha}$ of periodic functions, Minkowski's inequality, Hölder's inequality
Mots-clés : Vallée-Poussin kernel. 
@article{MZM_2007_82_2_a9,
     author = {A. S. Romanyuk},
     title = {Best {Trigonometric} {Approximations} for {Some} {Classes} of {Periodic} {Functions} of {Several} {Variables} in the {Uniform} {Metric}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {247--261},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a9/}
}
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A. S. Romanyuk. Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric. Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 247-261. http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a9/