ERROR ESTIMATES OF GAUSSIAN-TYPE QUADRATURE FORMULAE FOR ANALYTIC FUNCTIONS ON ELLIPSES-A SURVEY OF RECENT RESULTS

被引：8

作者：

Djukic, D. Lj ^{[1
]}

Djukic, R. M. Mutavdzic ^{[1
]}

Pejcev, A., V ^{[1
]}

Spalevic, M. M. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Dept Math, Kraljice Marije 16, Belgrade 11120 35, Serbia

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2020年 / 53卷

关键词：

error estimate; remainder term; analytic function; contour integral representation; REMAINDER TERM; WEIGHT-FUNCTIONS; TURAN QUADRATURE; CHEBYSHEV WEIGHT; RADAU QUADRATURE; MULTIPLE NODES; LOBATTO QUADRATURES; BOUNDS; NORM; MICCHELLI;

D O I：

10.1553/etna_vol53s352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses.

引用

页码：352 / 382

页数：31

共 11 条

[1] ERROR BOUNDS AND ESTIMATES FOR GAUSS-TURAN QUADRATURE FORMULAE OF ANALYTIC FUNCTIONS
Spalevic, Miodrag M.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2014, 52 (01) : 443 - 467
[2] Error estimates of anti-Gaussian quadrature formulae
Spalevic, Miodrag M.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (15) : 3542 - 3555
[3] ERROR ESTIMATES OF GAUSSIAN QUADRATURE FORMULAE WITH THE THIRD CLASS OF BERNSTEIN-SZEGO WEIGHTS
Pejcev, Aleksandar
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2017, 11 (02) : 451 - 469
[4] Error bounds for Gauss-Turan quadrature formulae of analytic functions
Milovanovic, GV
Spalevic, MM
MATHEMATICS OF COMPUTATION, 2003, 72 (244) : 1855 - 1872
[5] The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
Orive, Ramon
Pejcev, Aleksandar V.
Spalevic, Miodrag M.
APPLIED MATHEMATICS AND COMPUTATION, 2020, 369
[6] Error estimates for Gaussian quadratures of analytic functions
Milovanovic, Gradimir V.
Spalevic, Miodrag M.
Pranic, Miroslav S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (03) : 802 - 807
[7] The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-SzegoIi type
Djukic, Dusan Lj.
Pejcev, Aleksandar V.
Spalevic, Miodrag M.
NUMERICAL ALGORITHMS, 2018, 77 (04) : 1003 - 1028
[8] On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
Hunter, D
Nikolov, G
MATHEMATICS OF COMPUTATION, 2000, 69 (229) : 269 - 282
[9] Error bounds for Gaussian quadrature formulae with Bernstein-Szego weights that are rational modifications of Chebyshev weight functions of the second kind
Pejcev, Aleksandar V.
Spalevic, Miodrag M.
IMA JOURNAL OF NUMERICAL ANALYSIS, 2012, 32 (04) : 1733 - 1754
[10] The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegő type
Dušan Lj. Djukić
Aleksandar V. Pejčev
Miodrag M. Spalević
Numerical Algorithms, 2018, 77 : 1003 - 1028

← 1 2 →