Hermite-Fejer and Grunwald Interpolation at Generalized Laguerre Zeros

被引：0

作者：

De Bonis, Maria Carmela ^{[1
]}

Kubayi, David ^{[2
]}

机构：

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

[2] North West Univ, Sch Math & Stat Sci, Dept Math & Appl Math, Potchefstroom Campus,Private Bag X6001, ZA-2520 Potchefstroom, South Africa

来源：

FILOMAT | 2019年 / 33卷 / 15期

关键词：

Interpolation; Hermite-Fejer; Grunwald; Orthogonal polynomials; POLYNOMIAL-APPROXIMATION; ORTHONORMAL POLYNOMIALS; ORTHOGONAL POLYNOMIALS; EXPONENTIAL WEIGHTS;

D O I：

10.2298/FIL1915855D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce special Hermite-Fejer and Grunwald operators at the zeros of the generalized Laguerre polynomials. We will prove that these interpolation processes are uniformly convergent in suitable weighted function spaces.

引用

页码：4855 / 4863

页数：9

共 18 条

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