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Integral presentations of deviations of de la Vallee Poussin right-angled sums

Vladimir I. Rukasov; Olga G. Rovenska — 2009

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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 $C_{β, \infty}^{m α}$ .

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