Geodesic
Integral presentations of deviations of de la Vallee Poussin right-angled sums
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 129-137.

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We investigate approximation properties of de la Vallee Poussin right-angled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of deviations of de la Vallee Poussin sums on the classes $C_{\beta ,\infty }^{m\alpha }$.
Classification : 42A10
Keywords: Right-angled sums of Vallee Poussin; integral presentations; Fourier series 
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Rukasov, Vladimir I.; Rovenska, Olga G. Integral presentations of deviations of de la Vallee Poussin right-angled sums. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 129-137. http://geodesic.mathdoc.fr/item/AUPO_2009__48_1_a10/