On Convergence and Divergence of Fourier Expansions with Respect to Some Gegenbauer-Sobolev Type Inner Product Articles

Overview

authors

MARCELLAN ESPAÑOL, FRANCISCO JOSE
FEJZULLAHU, BUJAR XH

published in

Communications in the Analytic Theory of Continued Fractions Journal

publication date

January 2009

start page

1

end page

11

issue

16

volume

2009

International Standard Serial Number (ISSN)

WWWW-0039

abstract

In this paper we prove the failure of a.e. convergence of the Fourier expansion in terms of the orthonormal polynomials with respect to the above inner product [see full-text paper]. Necessary conditions for mean convergence are also discussed.