An Operator Product Inequalities for Polynomials
نویسندگان
چکیده
Let P (z) be a polynomial of degree n ≥ 1. In this paper we define an operator B, as following, B[P (z)] := λ 0 P (z) + λ 1 (nz 2) P ′ (z) 1! + λ 2 (nz 2) 2 P ′′ (z) 2! , where λ 0 , λ 1 and λ 2 are such that all the zeros of u(z) = λ 0 + c(n, 1)λ 1 z + c(n, 2)λ 2 z 2 lie in half plane |z| ≤ |z − n 2 | and obtain a new generalization of some well-known results.
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تاریخ انتشار 2009