Inequalities Concerning Maximum Modulus of Higher Order Derivative of Complex Polynomials

Authors

  • Kshetrimayum Krishnadas Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, India.
  • Chanam Barchand Singh Department of Mathematics, National Institute of Technology Manipur, Imphal, India.

DOI:

https://doi.org/10.9734/bpi/ntpsr/v6/2277A

Keywords:

Bernstein inequality, Erdos-lax inequality, polynomials, maximum modulus, s th derivative, zeros

Abstract

Let  P(z) be a complex polynomial of degree n. The problem of best approximation involving it’s derivative p’(z)  under different restrictions on the zeros had been attracting many, including renowned scientists and mathematicians like Mandeleev, Markov brothers and Bernstein. Their works had been studied extensively by many mathematicians which resulted in rich collection of inequalities concerning complex polynomials.  In this article, we discuss in brief, a summary of inequalities involving maximum modulus of higher order derivatives of complex polynomials

Published

2022-06-15

How to Cite

Kshetrimayum Krishnadas, & Chanam Barchand Singh. (2022). Inequalities Concerning Maximum Modulus of Higher Order Derivative of Complex Polynomials. New Trends in Physical Science Research Vol. 6, 38–46. https://doi.org/10.9734/bpi/ntpsr/v6/2277A

Issue

New Trends in Physical Science Research Vol. 6

Section

Chapters