L^r inequalities for polynomials with restricted zeros

Authors

  • Singhajit Mayanglambam Department of Mathematics, National Institute of Technology Manipur, India
  • M. Singhajit Singh Department of Mathematics, National Institute of Technology Manipur, India
  • B. Chanam Department of Mathematics, National Institute of Technology Manipur, India

DOI:

https://doi.org/10.56947/amcs.v21.258

Keywords:

polynomial, zero, inequality, Lr analogue

Abstract

If p(z) is a polynomial of degree n having no zero in |z|<k, k>1, then Govil and Rahman [10] extended Malik's inequality [13] into Lr version. In this paper, we prove improved and generalized versions of the above inequality.

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Published

2024-02-17

Issue

Section

Articles