The Multiplication Operator, Zero Location and Asymptotic for Non-Diagonal Sobolev Norms Articles uri icon

publication date

  • August 2010

start page

  • 205

end page

  • 218

issue

  • 2

volume

  • 111

international standard serial number (ISSN)

  • 0167-8019

electronic international standard serial number (EISSN)

  • 1572-9036

abstract

  • In this paper we are going to study the zero location and asymptotic behavior of extremal polynomials with respect to a generalized non-diagonal Sobolev norm in which the product of the
    function and its derivative appears. The orthogonal polynomials with
    respect to this Sobolev norm are a particular case of those
    extremal polynomials. The multiplication operator by the independent
    variable is the main tool in order to obtain our results.