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.
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页码：4855 / 4863
页数：9
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