We establish an analog of the Cauchy-Poincare interlacing theorem for normal matrices in
terms of majorization, and we provide a solution to the corresponding inverse spectral …

If P (z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β∈ C
with∣ α∣⩽ 1,∣ β∣⩽ 1, it is known that. for R⩾ 1 and∣ z∣⩾ 1. The present paper contains …

Let denote the space of all complex polynomials of degree at most. For any complex
number, denote the polar derivative of the polynomial with respect to and denote a family of …

In this paper, we combine the operators N and D α, and investigate the dependence of N [D
α (P (R z)-β P (rz)] on the maximum modulus of P (z) on| z|= 1 for every real or complex …

Generalization of the Gauss--Lucas theorem for bicomplex polynomials Page 1 Turkish Journal of
Mathematics Volume 41 Number 6 Article 20 1-1-2017 Generalization of the Gauss--Lucas …

Let A and B be monic polynomials of the same degree. Given some (or all) information about
the individual polynomials A and B, in particular about their factorizations, what can be said …

On an Operator Preserving Inequalities between Polynomials Page 1 Applied Mathematics,
2012, 3, 557-563 http://dx.doi.org/10.4236/am.2012.36085 Published Online June 2012 (http://www.SciRP.org/journal/am) …

In this paper, by combining the operators B and D_α, we investigate the dependence of B
[D_α (P (Rz)− βP (z))] on the maximum modulus of P (z) on| z|= 1 for every real or complex …

We estabish an analog of the Poincare-Cauchy separation theorem for normal matrices in
terms of majorization. The result is applied to obtain new information on the geometry of the …

NEW INEQUALITIES FOR THE B-OPERATORS Page 1 Nonlinear Functional Analysis and
Applications Vol. 17, No. 3 (2012), pp. 285-300 http://nfaa.kyungnam.ac.kr/jour-nfaa.htm …