TITLE:
On an Operator Preserving Inequalities between Polynomials
AUTHORS:
Nisar Ahmad Rather, Mushtaq Ahmad Shah, Mohd. Ibrahim Mir
KEYWORDS:
Component Polynomials; B-Operator; Complex Domain
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.6,
June
21,
2012
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.