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

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.