Fourier Series of Gegenbauer-Sobolev Polynomials

Symmetry Integrability and Geometry-Methods and Applications

article

Óscar CiaurriJudit Mínguez¹ 

[1] Universidad de La Rioja

关键词: Sobolev-type inner product;    Sobolev polynomials;    Gegenbauer polynomials;    partial sum operator;   

DOI  :  10.3842/SIGMA.2018.024

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown