On uniform approximation of abstract functions on convex polygons

被引：0

作者：

Dodonov N.Yu. ^{[1
]}

机构：

[1] St.Petersburg State University,

来源：

Journal of Mathematical Sciences | 2007年 / 144卷 / 6期

关键词：

Pairwise Disjoint; Operator Versus; Convex Compact; Uniform Approximation; Integration Variable;

D O I：

10.1007/s10958-007-0297-9

中图分类号：

学科分类号：

摘要：

Approximation aggregates of summatory type are constructed for functions f: Q → X, where Q is a convex polygon in ℝ2 and X is a real Banach space. An assertion providing an accuracy estimate for an uniform approximation in terms of the modulus of continuity of the second order for f is proved. Differential properties of such aggregates are studied. Bibliography: 7 titles. © 2007 Springer Science+Business Media, Inc.

引用

页码：4592 / 4611

页数：19

共 50 条

[1] On approximation of convex functions via random polygons
Bogachev, LV
Zarbaliev, SM
[J]. DOKLADY AKADEMII NAUK, 1999, 364 (03) : 299 - 302
[2] Approximation of convex polygons by polygons
Koutschan, Christoph
Ponomarchuk, Anton
Schicho, Josef
[J]. 2021 23RD INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2021), 2021, : 91 - 98
[3] APPROXIMATION OF CONVEX POLYGONS
ALT, H
BLOMER, J
GODAU, M
WAGENER, H
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1990, 443 : 703 - 716
[4] UNIFORM APPROXIMATION BY QUASI-CONVEX AND CONVEX-FUNCTIONS
UBHAYA, VA
[J]. JOURNAL OF APPROXIMATION THEORY, 1988, 55 (03) : 326 - 336
[5] Hausdorff approximation of convex polygons
Lopez, MA
Reisner, S
[J]. COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2005, 32 (02): : 139 - 158
[6] Efficient approximation of convex polygons
Lopez, MA
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 2000, 10 (05) : 445 - 452
[7] APPROXIMATION OF CONVEX DISKS BY POLYGONS
FLORIAN, A
[J]. DISCRETE & COMPUTATIONAL GEOMETRY, 1986, 1 (03) : 241 - 263
[8] On an approximation of functions regular in convex polygons by linear means of their exponent series
Pavlyuchenko O.G.
[J]. Journal of Mathematical Sciences, 2001, 107 (2) : 3793 - 3798
[9] UNIFORM ESTIMATES OF MONOTONE AND CONVEX APPROXIMATION OF SMOOTH FUNCTIONS
KOPOTUN, KA
[J]. JOURNAL OF APPROXIMATION THEORY, 1995, 80 (01) : 76 - 107
[10] ON UNIFORM APPROXIMATION OF AFFINE FUNCTIONS ON A COMPACT CONVEX SET
EDWARDS, DA
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1969, 20 (78): : 139 - &

← 1 2 3 4 5 →