A note on Hermite-Fejer interpolation at Laguerre zeros

被引：1

作者：

Mastroianni, Giuseppe ^{[1
]}

Notarangelo, Incoronata ^{[1
]}

Szili, Laszlo ^{[2
,3
]}

Vertesi, Peter ^{[4
]}

机构：

[1] Univ Basilicata, Dept Math Comp Sci & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy

[2] Eotvos Lorand Univ, Dept Numer Anal, Pazmany P Setany I-C, H-1117 Budapest, Hungary

[3] Budapest Univ Technol & Econ, Dept Differential Equat, Egry Jozsef U 1, H-1111 Budapest, Hungary

[4] Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary

来源：

CALCOLO | 2018年 / 55卷 / 03期

关键词：

Hermite-Fejer operator; Weighted polynomial approximation; Orthogonal polynomials; Laguerre zeros; Real semiaxis; POLYNOMIAL-APPROXIMATION;

D O I：

10.1007/s10092-018-0281-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to approximate functions defined on the real semiaxis, we introduce a new operator of Hermite-Fejer-type based on Laguerre zeros and prove its convergence in weighted uniform metric.

引用

页数：12

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[10] HERMITE-FEJER INTERPOLATION SEQUENCES
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