Best Polynomial Approximations and Widths of Classes of Functions in the Space L 2

被引：2

作者：

Vakarchuk, S. B. ^{[1
]}

机构：

[1] Alfred Nobel Dnepropetrovsk Univ, Dnepropetrovsk, Ukraine

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 1-2期

关键词：

best polynomial approximation; Fourier series; (psi; beta)-derivative; generalized modulus of continuity; n-width; JACKSON-TYPE INEQUALITIES; GENERALIZED MODULUS; BETA)-DIFFERENTIABLE FUNCTIONS; EXACT VALUES; N-WIDTHS; CONTINUITY; (PSI; THEOREM;

D O I：

10.1134/S0001434618010327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：308 / 312

页数：5

共 50 条

[41] The Best Linear Methods and Values of Widths for Some Classes of Analytic Functions in the Bergman Weight Space
Shabozov, M. Sh.
Langarshoev, M. R.
DOKLADY MATHEMATICS, 2013, 87 (03) : 338 - 341
[42] О наилучшем приближении периодических функций тригонометрическими полиномами и точных эначениях поперечников функциональных классов в L2On the best approximation of periodic functions by trigonometric polynomials and the exact values of widths of function classes in L2
М. Ш. Шлбоэов
С. В. Влклрчук
Analysis Mathematica, 2012, 38 (2) : 147 - 159
[43] Estimates for the best asymmetric approximations of asymmetric classes of functions
V. P. Motornyi
A. N. Pas’ko
Ukrainian Mathematical Journal, 2011, 63 : 927 - 939
[44] Best Bilinear Approximations for the Classes of Functions of Many Variables
A. S. Romanyuk
V. S. Romanyuk
Ukrainian Mathematical Journal, 2014, 65 : 1862 - 1882
[45] Best Bilinear Approximations for the Classes of Functions of Many Variables
Romanyuk, A. S.
Romanyuk, V. S.
UKRAINIAN MATHEMATICAL JOURNAL, 2014, 65 (12) : 1862 - 1882
[46] UPPER FACES OF BEST APPROXIMATIONS ON CLASSES OF DIFFERENTIABLE PERIODIC FUNCTIONS IN C AND L METRICS
KORNEICH.NP
DOKLADY AKADEMII NAUK SSSR, 1970, 190 (02): : 269 - &
[47] ESTIMATES FOR THE BEST ASYMMETRIC APPROXIMATIONS OF ASYMMETRIC CLASSES OF FUNCTIONS
Motornyi, V. P.
Pas'ko, A. N.
UKRAINIAN MATHEMATICAL JOURNAL, 2011, 63 (06) : 927 - 939
[48] Relative widths of classes of differentiable functions in the L2 metric
Subbotin, YN
Telyakovskii, SA
RUSSIAN MATHEMATICAL SURVEYS, 2001, 56 (04) : 767 - 769
[49] Widths of some classes of analytic functions in the Bergman space
Shabozov, MS
DOKLADY MATHEMATICS, 2002, 65 (02) : 194 - 197
[50] Widths of some functional classes in the space L-2 on a period
Vasil'ev, S. N.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (04): : 42 - 47

← 1 2 3 4 5 →