On an Operator Preserving Inequalities between Polynomials

Nisar Ahmad Rather, Mushtaq Ahmad Shah, Mohd. Ibrahim Mir

Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India.

DOI: 10.4236/am.2012.36085                

Abstract

Let be the class of polynomials of degree n and a family of operators that map into itself. For , we investigate the dependence of on the maximum modulus of on for arbitrary real or complex numbers , with , and , and present certain sharp operator preserving inequalities between polynomials.

Keywords

Component Polynomials; B-Operator; Complex Domain

Conflicts of Interest

The authors declare no conflicts of interest.

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