WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
An Operator Preserving Inequalities between Polynomials
Authors: ,
Abstract: For the B-operator B[P(z)] where P(z) is a polynomial of degree n, a problem has been considered of investigating the dependence of |B[P(Rz)] − αB[P(rz)]| on the maximum modulus of P(z) on |z| = 1 for every real or complex number α with |α| ≤ 1, R > r ≥ 1 in order to establish some new operator preserving inequalities between polynomials.