A Cohen Type Inequality for Laguerre-Sobolev Expansions Articles uri icon

publication date

  • April 2009

start page

  • 880

end page

  • 889

issue

  • 2

volume

  • 352

international standard serial number (ISSN)

  • 0022-247X

electronic international standard serial number (EISSN)

  • 1096-0813

abstract

  • In this paper we prove a Cohen type inequality for the Fourier expansion in terms of the orthonormal polynomials associated with the above Sobolev inner product. In particular, for M=N=0, we extend the result of Markett [C. Markett, Cohen type inequalities for Jacobi, Laguerre and Hermite expansions, SIAM J. Math. Anal. 14 (1983) 819&-833].