International Journal of Nonlinear Analysis and Applications

Turan type inequalities for rational functions with prescribed poles

Document Type : Research Paper

Authors

1 Naseem Bagh Srinagar

2 Department of Mathematics, University of Kashmir , Srinagar, Jammu and Kashmir, India

3 University of Kashmir

Abstract

In this paper, we establish some inequalities for rational functions with prescribed poles having t-fold zeros at the origin. The estimates obtained generalise as well as refine some known results for rational functions and in turn, produce extensions of some polynomial inequalities earlier proved by Turan, Jain etc.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 1003-1009
  • Receive Date: 15 April 2021
  • Revise Date: 15 August 2021
  • Accept Date: 21 August 2021