Approximation of classes of periodic functions of several variables with given majorant of mixed moduli of continuity

被引：0

作者：

Fedunyk-Yaremchuk, O., V ^{[1
]}

Hembars'ka, S. B. ^{[1
]}

Solich, K., V ^{[1
]}

机构：

[1] Lesya Ukrainka Volyn Natl Univ, Bankova Str 9, UA-43025 Lutsk, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 02期

关键词：

mixed modulus of continuity; Bari-Stechkin condition; Nikol'skii-Besov-type class; linear operator; Vallee Poussin kernel; Fejer kernel; DIAMETERS; WIDTHS;

D O I：

10.15330/cmp.15.2.468-481

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain the exact-order estimates of approximation of the Nikol'skii-Besov-type classes B-infinity,theta(Omega) of periodic functions of several variables with a given function Omega(t) of a special form by using linear operators satisfying certain conditions. The approximation error is estimated in the metric of the space L-infinity. The obtained estimates of the considered approximation characteristic, in addi-tion to independent interest, can be used to establish the lower bounds of the orthowidths of the corresponding functional classes.

引用

页码：468 / 481

页数：14

共 50 条

[1] Approximation of classes of periodic functions of several variables with given majorant of mixed moduli of continuity
Fedunyk-Yaremchuk, O., V
Hembars'ka, S. B.
[J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (03) : 838 - 850
[2] Estimates of the approximation characteristics of the classes Bp,θΩ of periodic functions of several variables with given majorant of mixed moduli of continuity
A. F. Konograi
[J]. Mathematical Notes, 2014, 95 : 656 - 669
[3] Estimates of the approximation characteristics of the classes B p,θ Ω of periodic functions of several variables with given majorant of mixed moduli of continuity
Konograi, A. F.
[J]. MATHEMATICAL NOTES, 2014, 95 (5-6) : 656 - 669
[4] ESTIMATES OF APPROXIMATIVE CHARACTERISTICS OF THE CLASSES Bp,θΩ OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES WITH GIVEN MAJORANT OF MIXED MODULI OF CONTINUITY IN THE SPACE Lq
Fedunyk-Yaremchuk, O., V
Hembars'ka, S. B.
[J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2019, 11 (02) : 281 - 295
[5] The orthoprojection widths of some classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity
Pustovoitov, NN
[J]. IZVESTIYA MATHEMATICS, 2000, 64 (01) : 121 - 141
[6] Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
Pustovoitov, NN
[J]. MATHEMATICAL NOTES, 1999, 65 (1-2) : 89 - 98
[7] ESTIMATES FOR THE APPROXIMATE CHARACTERISTICS OF THE CLASSES Bp,θΩ OF PERIODIC FUNCTIONS OF TWO VARIABLES WITH GIVEN MAJORANT OF MIXED MODULI OF CONTINUITY
Konohrai, A. F.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2011, 63 (02) : 209 - 221
[8] Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
N. N. Pustovoitov
[J]. Mathematical Notes, 1999, 65 : 89 - 98
[9] Approximation of classes of periodic functions in several variables
Romanyuk, AS
[J]. MATHEMATICAL NOTES, 2002, 71 (1-2) : 98 - 109
[10] Approximation of Classes of Periodic Functions in Several Variables
A. S. Romanyuk
[J]. Mathematical Notes, 2002, 71 : 98 - 109

← 1 2 3 4 5 →