Skip to main content
Article thumbnail
Location of Repository

ASYNPTOTIC PROPERTIES OF ORTHOGONAL POLYNOMIALS AND THEIR DERIVATIVES

By Vladimir Mikhailovich Badkov

Abstract

The asymptotic properties of the multinomials being orthogonal on the circle and their derivatives of the natural order are investigated. For orthogonal multinomial on the circle the asymptotics in Segeau form being even inner arc not containing the special points of the distribution density has been proved at minimal limitations for the smoothness of the later. For wide classes with special features, the flow evaluations of the Segeau function module, weight analogies of the Markov, Bernstein and Nikolski inequalities and sometimes also the even asymptotic representations of the orthogonal multinomials on the circle and their derivatives have been specified. As a consequence the results about asymptotics of the orthogonal trigonometric polynomials and multinomials being orthogonal on the line (specifically, generalized Jacobian multinomials) have been obtained.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

Topics: 12A - Pure mathematics, ASYMPTOTIC PROPERTIES, ORTHOGONAL POLYNOMIALS, DERIVATIVES
Year: 1996
OAI identifier:
Provided by: OpenGrey Repository
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://hdl.handle.net/10068/35... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.