Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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IMPROVEMENT AND GENERALIZATION OF POLYNOMIAL INEQUALITY DUE TO RIVLIN

  • Nirmal Kumar Singha (Department of Mathematics, National Institute of Technology Manipur) ;
  • Reingachan N (Department of Mathematics, National Institute of Technology Manipur) ;
  • Maisnam Triveni Devi (Department of Mathematics, National Institute of Technology Manipur) ;
  • Barchand Chanam (Department of Mathematics, National Institute of Technology Manipur)
  • Received : 2022.10.13
  • Accepted : 2023.07.06
  • Published : 2023.09.15
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Abstract

Let p(z) be a polynomial of degree n having no zero in |z| < 1. In this paper, by involving some coefficients of the polynomial, we prove an inequality that not only improves as well as generalizes the well-known result proved by Rivlin but also has some interesting consequences.

Keywords

Acknowledgement

We are grateful to the referee for his/her useful suggestions.

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