Approximation of classes of convolutions by linear methods of summation of Fourier series
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.
KeywordsLinear Operator Fourier Series Periodic Function Linear Method Ukrainian Academy
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- 1.A. I. Stepanets, Classes of Periodic Functions and Approximation of Their Elements by Fourier Sums [in Russian], Preprint No. 83.10, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1983).Google Scholar
- 3.N. P. Komeichuk, Exact Constants in the Theory of Approximation [in Russian], Nauka, Moscow (1976).Google Scholar
- 4.N. P. Korneichuk, Extremal Problems in the Theory of Approximation [in Russian], Nauka, Moscow (1976).Google Scholar
- 5.N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).Google Scholar