Pade-Type Approximants for Some Classes of Multivariate Functions

被引：1

作者：

Holub, A. P. ^{[1
]}

Lysenko, L. O. ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 05期

关键词：

D O I：

10.1007/s11253-017-1391-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend Dzyadyk's method of generalized moment representations to the multidimensional case and, on this basis, construct and investigate the Pad,-type approximants for some classes of multivariate functions.

引用

页码：734 / 745

页数：12

共 50 条

[1] PADE-TYPE APPROXIMANTS FOR MULTIVARIATE SERIES OF FUNCTIONS
SABLONNIERE, P
[J]. LECTURE NOTES IN MATHEMATICS, 1984, 1071 : 238 - 251
[2] On multivariate matrix Pade-type approximants
Zheng, Cheng-de
Li, Zhi-bin
[J]. PROCEEDINGS OF 2006 CIE INTERNATIONAL CONFERENCE ON RADAR, VOLS 1 AND 2, 2006, : 1538 - +
[3] ON INTERPOLATORY MULTIVARIATE PADE-TYPE APPROXIMANTS
BREZINSKI, C
[J]. BIT, 1986, 26 (02): : 254 - 258
[4] Generalized multivariate rectangular matrix Pade-type approximants and Pade approximants
Zheng, Chengde
Li, Zhibin
[J]. DCABES 2006 PROCEEDINGS, VOLS 1 AND 2, 2006, : 7 - 12
[5] Generalized homogeneous multivariate matrix Pade-type approximants and pade approximants
Zheng, Cheng-De
Zhang, Huaguang
Tian, Hong
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (11) : 2160 - 2165
[6] Multivariate rectangular matrix Pade-type approximants
Zheng, Cheng-de
Li, Zhi-bin
Zhang, Xiao-jun
[J]. Advances in Matrix Theory and Applications, 2006, : 198 - 201
[7] Pade-type approximants and errors of Pade approximants
Gilewicz, J
Pindor, M
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 99 (1-2) : 155 - 165
[8] Pade-type approximants of Markov and meromorphic functions
Ambroladze, A
Wallin, H
[J]. JOURNAL OF APPROXIMATION THEORY, 1997, 88 (03) : 354 - 369
[9] Generalized multivariate rectangular matrix Pade-type approximants
Zheng, Cheng-De
Zhang, Huaguang
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2007, 54 (09) : 2099 - 2105
[10] On the convergence of general order multivariate Pade-type approximants
Abouir, J
Cuyt, A
GonzalezVera, P
Orive, R
[J]. JOURNAL OF APPROXIMATION THEORY, 1996, 86 (02) : 216 - 228

← 1 2 3 4 5 →