Discrete Laguerre-Sobolev expansions: A Cohen type inequality

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Pena, A.¹ 

[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

关键词: Laguerre polynomials;    Laguerre-Sobolev type polynomials;    Cohen type inequality;    Bessel functions;   

DOI  :  10.1016/j.jmaa.2011.06.036

来源: Elsevier

【 摘 要 】

C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted L(p) spaces. In this paper, we get a Cohen type inequality for the Fourier expansions in terms of discrete Laguerre-Sobolev orthonormal polynomials with an arbitrary (finite) number of mass points. So, we extend the result due to B.Xh. Fejzullahu and F. Marcellan. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free