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

被引：0

作者：

D. M. Bushev

机构：

来源：

Ukrainian Mathematical Journal | 1997年 / 49卷 / 6期

关键词：

Linear Operator; Fourier Series; Periodic Function; Linear Method; Ukrainian Academy;

D O I：

10.1007/BF02513424

中图分类号：

学科分类号：

摘要：

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.

引用

页码：825 / 843

页数：18

共 6 条

[1]

Bushev D. N.(1990)On the approximation of weakly differentiable periodic function Ukr. Mat. Zh. 42 406-412

[2]

Stepantes A. I.(1993)On the approximation of classes of convolutions Ukr. Mat. Zh. 45 26-31

[3]

Bushev D. N.(1953)On one asymptotic property of summation of Fourier series and the best approximation of functions of the class ℤ Usp. Mat. Nauk 13 99-103

[4]

Koval’chuk I. R.(1985) by linear positive operators Ukr. Mat. Zh. 37 154-162

[5]

Korovkin P. P.(undefined)On the best asymptotic approximation of the classes of differentiable functions by linear positive operators undefined undefined undefined-undefined

[6]

Bushev D. N.(undefined)undefined undefined undefined undefined-undefined

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