Fourier Series of Gegenbauer-Sobolev Polynomials

被引：12
作者：
Ciaurri, Oscar [1 ]
Minguez, Judit [1 ]
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Logrono 26006, Spain
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2018年 / 14卷
关键词：
Sobolev-type inner product; Sobolev polynomials; Gegenbauer polynomials; partial sum operator; GENERALIZED JACOBI SERIES; MEAN CONVERGENCE; INTERPOLATING POLYNOMIALS; EXPANSIONS;
D O I：
10.3842/SIGMA.2018.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.
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页数：11
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