On an Operator Preserving Inequalities between Polynomials

Affiliation(s)

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

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

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.

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.

Cite this paper

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.

N. Rather, M. Shah and M. Mir, "On an Operator Preserving Inequalities between Polynomials,"

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