Approximation of analytic periodic functions by de la Vallée-Poussin sums

被引：0

作者：

Rukasov V.I. ^{[1
]}

Chaichenko S.O. ^{[1
]}

机构：

[1] Slavyansk Pedagogic Institute, Slavyansk

来源：

Ukrainian Mathematical Journal | 2002年 / 54卷 / 12期

关键词：

Periodic Function; Approximation Property; Asymptotic Equality; Analytic Periodic Function; Skii Problem;

D O I：

10.1023/A:1024077332287

中图分类号：

学科分类号：

摘要：

We investigate the approximation properties of the de la Vallée-Poussin sums on the classes CβqH ω. We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov-Nikol'skii problem for the de la Vallée-Poussin sums on the classes CβqH ω. © 2002 Plenum Publishing Corporation.

引用

页码：2006 / 2024

页数：18

共 6 条

[1]

Stepanets A.I., Approximation of analytic continuous functions, Mat. Sb., 192, 1, pp. 113-138, (2001)

[2]

Stepanets A.I., Classification and Approximation of Periodic Functions [in Russian], (1987)

[3]

Nikol'skii S.M., Approximation of periodic functions by trigonometric polynomials in the mean, Izv. Akad. Nauk SSSR, Ser. Mat., 10, pp. 207-256, (1946)

[4]

Stechkin S.B., Estimation of the remainder term of the Fourier series for differentiable functions, Trudy Mat. Inst. Akad. Nauk SSSR, Ser. Mat., 145, pp. 126-151, (1980)

[5]

Rukasov V.I., Novikov O.A., Approximation of analytic functions the de la Vallée-Poussin sums, Fourier Series: Theory of Applications [in Russian], pp. 109-110, (1997)

[6]

Stepanets A.I., Uniform Approximation of by Trigonometric Polynomials [in Russian], (1981)

← 1 →