MARKOV-BERNSTEIN-TYPE INEQUALITIES FOR CLASSES OF POLYNOMIALS WITH RESTRICTED ZEROS Academic Article

abstract

• We prove that an absolute constant c>0 exists such that {Mathematical expression} for every real algebraic polynomial of degree at most n having at most k zeros in the open unit disk {zC:|z|<1}. This inequality, which has been conjectured for at least a decade, improves and generalizes several earlier results. Up to the multiplicative absolute constant c, it is a sharp generalization of both Markov's and Bernstein's inequalities. 1994 Springer-Verlag New York Inc.

authors

• Erdelyi, Tamas

published proceedings

• CONSTRUCTIVE APPROXIMATION

author list (cited authors)

• BORWEIN, P., & ERDELYI, T.

citation count

• 12

complete list of authors

• BORWEIN, P||ERDELYI, T

publication date

• September 1994

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

keywords

• Bernstein-type Inequality
• Markov-type Inequality
• Polynomials With Restricted Zeros

Digital Object Identifier (DOI)

• 10.1007/BF01212567

start page

• 411

end page

• 425

volume

• 10

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01212567

user-defined tag

• 10 Reduced Inequalities