Turan type inequalities for rational functions with prescribed poles

Document Type : Research Paper


1 Naseem Bagh Srinagar

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

3 University of Kashmir


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.