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Approximation of classes of convolutions by linear methods of summation of Fourier series

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Abstract

We consider a family of special linear methods of summation of Fourier series and establish exact equalities for the approximation of classes of convolutions with even and odd kernels by polynomials generated by these methods.

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Authors
  1. D. M. Bushev
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 739–753, June, 1997

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Bushev, D.M. Approximation of classes of convolutions by linear methods of summation of Fourier series. Ukr Math J 49, 825–843 (1997). https://doi.org/10.1007/BF02513424

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  • DOI: https://doi.org/10.1007/BF02513424

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