Markov—Bernstein Type Inequalities on Compact Subsets of R

Abstract:

In this paper we give Markov Bernstein type inequalities for derivative of polynomials on some subsets of R. We define two different kinds of functions measuring the density of the sets considered, and in most cases we establish sharp inequalities for the Markov—Bernstein factor at the accumulation point of the set.

Language: English

Document Type: Regular paper

Affiliations: 1: Department of Mathematics Texas A&M University College Station, TX 77843 U. S. A. e-mail: Tamas.Erdelyi@math.tamu.edu 2: Mathematical Institute of the Hungarian Academy of Sciences 1364 Budapest, P. O. B. 127 Hungary e-mail: Kroo@math-inst.hu 3: Mathematical Institute of the Hungarian Academy of Sciences 1364 Budapest, P. O. B. 127 Hungary e-mail: Szabados@math-inst.hu