Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials

被引：0

作者：

V. P. Motornyi

机构：

[1] Dnepropetrovsk University,

来源：

Ukrainian Mathematical Journal | 2001年 / 53卷 / 3期

关键词：

Bounded Function; Singular Integral; Pointwise Approximation; Exact Estimate; Algebraic Polynomial;

D O I：

10.1023/A:1012388120569

中图分类号：

学科分类号：

摘要：

We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations.

引用

页码：377 / 394

页数：17

共 50 条

[1] On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
V. P. Motornyi
O. V. Motornaya
Ukrainian Mathematical Journal, 2000, 52 (1) : 91 - 107
[2] On the asymptotically exact estimation of the pointwise approximation of the certain classes of functions by algebraic polynomials
Motornyi, VP
DOKLADY AKADEMII NAUK, 2000, 370 (03) : 313 - 315
[3] Approximation of the Riemann - Liouville Integrals by Algebraic Polynomials on the Segment
Tyleneva, A. A.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2014, 14 (03): : 305 - 311
[4] APPROXIMATION IN THE MEAN OF CLASSES OF DIFFERENTIABLE FUNCTIONS BY ALGEBRAIC POLYNOMIALS
KOFANOV, VA
MATHEMATICS OF THE USSR-IZVESTIYA, 1983, 47 (05): : 353 - 365
[5] APPROXIMATION OF DIFFERENTIABLE FUNCTION CLASSES BY ALGEBRAIC POLYNOMIALS IN THE MEAN
KOFANOV, VA
DOKLADY AKADEMII NAUK SSSR, 1982, 262 (06): : 1304 - 1306
[6] On exact estimates for the pointwise approximation of the classes WrHω by algebraic polynomials
Motornyi V.P.
Ukrainian Mathematical Journal, 2001, 53 (6) : 916 - 937
[7] Approximation of fractional-order integrals by algebraic polynomials. I
Motornyi V.P.
Ukrainian Mathematical Journal, 1999, 51 (5) : 672 - 683
[8] Approximation of fractional-order integrals by algebraic polynomials. II
Motornyi V.P.
Ukrainian Mathematical Journal, 1999, 51 (7) : 1055 - 1068
[9] On the Best Approximation of Certain Classes of Periodic Functions by Trigonometric Polynomials
Serdyuk, A.
Ovsii, I.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2011, 1 (01): : 129 - 144
[10] Approximation of functions in a certain Banach space by some generalized singular integrals
Krasniqi, Xhevat Z.
AIMS MATHEMATICS, 2024, 9 (02): : 3386 - 3398

← 1 2 3 4 5 →