Geodesic
On Best Convergence of Series in the Systems $\varphi(nx)$
Matematičeskie zametki, Tome 98 (2015) no. 4, pp. 565-569

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Sufficient conditions for the best convergence in $L_p$ of series in systems $\varphi(nx)$, where $\varphi(x)$ are polynomials or series in trigonometric and Walsh systems, are obtained.
Mots-clés : best convergence
Keywords: trigonometric series, Walsh series, Paley series, Banach space. 
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     author = {A. I. Rubinshtein},
     title = {On {Best} {Convergence} of {Series} in the {Systems} $\varphi(nx)$},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_4_a6/}
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A. I. Rubinshtein. On Best Convergence of Series in the Systems $\varphi(nx)$. Matematičeskie zametki, Tome 98 (2015) no. 4, pp. 565-569. http://geodesic.mathdoc.fr/item/MZM_2015_98_4_a6/