Turan type inequalities for rational functions with prescribed poles

نویسندگان

1 Naseem Bagh Srinagar

2 University of Kashmir

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

doi
10.22075/ijnaa.2021.23145.2484
چکیده

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.