On Sobolev orthogonal polynomials Articles uri icon

publication date

  • January 2015

start page

  • 308

end page

  • 352

issue

  • 3

volume

  • 33

international standard serial number (ISSN)

  • 0723-0869

electronic international standard serial number (EISSN)

  • 1878-0792

abstract

  • Sobolev orthogonal polynomials have been studied extensively in the past quarter-century. The research in this field has sprawled into several directions and generates a plethora of publications. This paper contains a survey of the main developments up to now. The goal is to identify main ideas and developments in the field, which hopefully will lend a structure to the mountainous publications and help future research.

keywords

  • orthogonal polynomials; sobolev orthogonal polynomials; approximation by polynomials