Sharp Markov-type inequalities for rational functions on several intervals

Akturk, Mehmet; LUKASHOV, A.

doi:10.1016/j.jmaa.2015.12.010

Sharp Markov-type inequalities for rational functions on several intervals

Akturk M. A., LUKASHOV A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.436, no.2, pp.1017-1022, 2016 (SCI-Expanded)

Publication Type: Article / Article
Volume: 436 Issue: 2
Publication Date: 2016
Doi Number: 10.1016/j.jmaa.2015.12.010
Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1017-1022
Istanbul University Affiliated: Yes

Abstract

In this paper, we give sharp Rusak- and Markov-type inequalities for rational functions on several intervals when the system of intervals is a "rational function inverse image" of an interval and those functions are large in gaps. (C) 2015 Elsevier Inc. All rights reserved.