Bounds for weighted Lebesgue functions for exponential weights. II

被引：2

作者：

Kubayi, DG ^{[1
]}

机构：

[1] Univ Witwatersrand, Dept Math, John Knopfmacher Ctr Applicable Anal & Number The, ZA-2050 Johannesburg, South Africa

来源：

ACTA MATHEMATICA HUNGARICA | 2002年 / 97卷 / 1-2期

关键词：

Lebesgue function; orthogonal polynomials; exponential weights;

D O I：

10.1023/A:1020854727886

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [3] we found estimates for the weighted Lebesgue functions, Lambda(n) (x), for a class of exponential weights that includes non-even weights, when the interpolation points are the zeros of orthogonal polynomials. In this paper, we use Szabados' method of adding two extra interpolation points to find better estimates for Lebesgue functions.

引用

页码：37 / 54

页数：18

共 50 条

[21] EXACT BOUNDS FOR ORTHOGONAL POLYNOMIALS ASSOCIATED WITH EXPONENTIAL WEIGHTS
NEVAI, P
JOURNAL OF APPROXIMATION THEORY, 1985, 44 (01) : 82 - 85
[22] EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT
Akgun, R.
PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2023, 12 (01): : 3 - 24
[23] On bounds and approximating weighted distributions by exponential distributions
Oluyede, Broderick O.
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2006, 20 (03) : 517 - 528
[24] Function spaces with exponential weights II
Schott, T
MATHEMATISCHE NACHRICHTEN, 1998, 196 : 231 - 250
[25] Approximation of the functions in weighted Lebesgue spaces with variable exponent
Jafarov, Sadulla Z.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (10) : 1444 - 1458
[26] WEIGHTED EIGENVALUE PROBLEMS FOR THE p-LAPLACIAN WITH WEIGHTS IN WEAK LEBESGUE SPACES
Anoop, T. V.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[27] Weighted Bounds for Multilinear Square Functions
The Anh Bui
Mahdi Hormozi
Potential Analysis, 2017, 46 : 135 - 148
[28] Weighted Bounds for Multilinear Square Functions
The Anh Bui
Hormozi, Mahdi
POTENTIAL ANALYSIS, 2017, 46 (01) : 135 - 148
[29] The weighted logarithmic matrix norm and bounds of the matrix exponential
Hu, GD
Liu, MZ
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 : 145 - 154
[30] An Erdos-type convergence process in weighted interpolation.: II (exponential weights on [-1, 1])
Szili, L
Vértesi, P
ACTA MATHEMATICA HUNGARICA, 2003, 98 (1-2) : 129 - 162

← 1 2 3 4 5 →