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.
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页数：12
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