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.

引用

页数：11

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