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Approximation of the classes C ψβ H ω by generalized de la Valiée-Poussin sums

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Abstract

On the classes of periodic functions C ψβ H β, we study approximating properties of trigonometric polynomials generated by methods for summation of Fourier series.

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Slavyansk Pedagogical Institute, Slavyansk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 4, pp. 606–610, April, 1997.

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Rukasov, V.I., Novikov, O.A. Approximation of the classes C ψβ H ω by generalized de la Valiée-Poussin sums. Ukr Math J 49, 672–677 (1997). https://doi.org/10.1007/BF02487332

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  • DOI: https://doi.org/10.1007/BF02487332

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