An operator product inequalities for polynomials
| dc.creator | Baseri, M. Ahmadi | |
| dc.creator | Bidkham, M. | |
| dc.creator | Gordji, M. Eshaghi | |
| dc.date | 2009-03-05 | |
| dc.date.accessioned | 2026-07-07T12:49:22Z | |
| dc.date.available | 2026-07-07T12:49:22Z | |
| dc.description | Let $P(z)$ be a polynomial of degree $n\geq 1$. In this paper we define an operator $B$, as following, $$B[P(z)]:=λ_0 P(z)+λ_1 (\frac{nz}{2}) \frac{P'(z)}{1!}+λ_2 (\frac{nz}{2})^2 \frac{P''(z)}{2!},$$ 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 $$|z|\leq |z-\frac{n}{2}|$$ and obtain a new generalization of some well-known results. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0903.1041 | |
| dc.identifier | http://arxiv.org/abs/0903.1041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222377 | |
| dc.subject | Complex Variables | |
| dc.subject | 30A06, 30A64 | |
| dc.title | An operator product inequalities for polynomials | |
| dc.type | text |