Approximation of differentiable periodic functions by their biharmonic Poisson integrals

被引：0

作者：

Zhyhallo K.M. ^{[1
]}

Kharkevych Yu.I. ^{[1
]}

机构：

[1] Volyn University, Luts'k

来源：

Ukrainian Mathematical Journal | 2002年 / 54卷 / 9期

关键词：

Periodic Function; Differentiable Function; Poisson Integral; Asymptotic Decomposition; Differentiable Periodic Function;

D O I：

10.1023/A:1023463801914

中图分类号：

学科分类号：

摘要：

We determine the exact values and asymptotic decompositions of upper bounds of approximations by biharmonic Poisson integrals on classes of periodic differentiable functions. © 2002 Plenum Publishing Corporation.

引用

页码：1462 / 1470

页数：8

共 50 条

[1] Approximation of conjugate differentiable functions by biharmonic Poisson integrals
Zhyhallo, K. M.
Kharkevych, Yu. I.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (03) : 399 - 413
[2] Approximation of conjugate differentiable functions by biharmonic Poisson integrals
K. M. Zhyhallo
Yu. I. Kharkevych
[J]. Ukrainian Mathematical Journal, 2009, 61 : 399 - 413
[3] Approximation of (ψ, β)-differentiable functions of low smoothness by biharmonic poisson integrals
Zhyhallo, K. M.
Kharkevych, Yu. I.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2012, 63 (12) : 1820 - 1844
[4] Approximation of (ψ, β)-differentiable functions of low smoothness by biharmonic poisson integrals
K. M. Zhyhallo
Yu. I. Kharkevych
[J]. Ukrainian Mathematical Journal, 2012, 63 : 1820 - 1844
[5] On series arising from the approximation of periodic differentiable functions by Poisson integrals
Zastavnyi, V. P.
[J]. MATHEMATICAL NOTES, 2009, 86 (3-4) : 469 - 482
[6] On series arising from the approximation of periodic differentiable functions by Poisson integrals
V. P. Zastavnyi
[J]. Mathematical Notes, 2009, 86
[7] On the approximation of functions of the Holder class by biharmonic Poisson integrals
Zhigallo K.M.
Kharkevych Yu.I.
[J]. Ukrainian Mathematical Journal, 2000, 52 (7) : 1113 - 1117
[8] Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric
T. V. Zhyhallo
Yu. I. Kharkevych
[J]. Ukrainian Mathematical Journal, 2009, 61 : 1757 - 1779
[9] APPROXIMATION OF (ψ, β)-DIFFERENTIABLE FUNCTIONS BY POISSON INTEGRALS IN THE UNIFORM METRIC
Zhyhallo, T. V.
Kharkevych, Yu. I.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (11) : 1757 - 1779
[10] Approximation of conjugate differentiable functions by their Abel–Poisson integrals
K. M. Zhyhallo
Yu. I. Kharkevych
[J]. Ukrainian Mathematical Journal, 2009, 61 : 86 - 98

← 1 2 3 4 5 →