This article is cited in 3 papers

Refinement of some Bernstein type inequalities for rational functions

Idrees Qasim

Department of Mathematics, National Institute of Technology, Srinagar, India, 190006

Abstract: In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.

Keywords: rational functions, polynomial inequalities, polar derivative, poles, zeros.

UDC: 517.53

MSC: 30A10, 30C15, 30D15

Received: 14.08.2021
Revised: 28.12.2021
Accepted: 30.12.2021

Language: English

DOI: 10.15393/j3.art.2022.11350

Bibliographic databases:

•