Some Turan-type inequalities for a class of rational functions with prescribed poles

Bashir Ahmad Ganie; Varun Mohan; Wali Mohammad Shah

doi:10.56947/amcs.v24.322

Authors

Bashir Ahmad Ganie Department of Mathematics, Sharda University, India
Varun Mohan Department of Mathematics, Sharda University, India
Wali Mohammad Shah Dartment of Mathematics, Central University of Kashmir, India

DOI:

https://doi.org/10.56947/amcs.v24.322

Keywords:

Rational functions, Polynomials, Inequalities, Zeros, Poles, t-fold zeros.

Abstract

In this paper we prove some results for rational functions with t-fold zeros at the origin and thereby obtain generalizations and refinements of some known inequalities for rational functions. These results in particular yield the improvement and generalizations of some polynomial inequalities.