Author(s)

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

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

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.

Component Polynomials; B-Operator; Complex Domain

N. Rather, M. Shah and M. Mir, "On an Operator Preserving Inequalities between Polynomials," Applied Mathematics, Vol. 3 No. 6, 2012, pp. 557-563. doi: 10.4236/am.2012.36085.