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On an Operator Preserving Inequalities between Polynomials

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DOI: 10.4236/am.2012.36085    4,142 Downloads   6,273 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

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