Inequalities concerning b-operators – тема научной статьи по математике читайте бесплатно
текст научно-исследовательской работы в электронной библиотеке КиберЛенинка …

Integral Estimates for the family of B-operators Page 1 Operators and Matrices Volume 5,
Number 1 (2011), 79–87 INTEGRAL ESTIMATES FOR THE FAMILY OF B–OPERATORS WM …

Some Generalization for an Operator Which Preserving Inequalities Between Polynomials 1
Introduction and statement of results Page 1 Analysis in Theory and Applications Anal. Theory …

Let 𝓟 n denote the space of all complex polynomials $ P (z)=\sum\limits_ {j= 0}^{n}{\alpha}
_jz^ j $ of degree n. Let P∈ 𝓟 n, for any complex number α, D α P (z)= nP (z)+(α-z) P'(z) …

If F (z) is a polynomial of degree n having all zeros in| z| ≤ k,~ k> 0| z|≤ k, k> 0 and f (z) is a
polynomial of degree m ≤ nm≤ n such that| f (z)| ≤| F (z)|| f (z)|≤| F (z)| for| z|= k| z|= k, then …

Let P (z) be a polynomial of degree at most n. We consider an operator N, which carries a
polynomial P (z) into NP (z):= ∑\limits _ j= 0^ m λ _j\bigg (nz 2\bigg)^ j P^(j)(z) j!, NP (z):=∑ …

Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of
operators B that map Pn into itself. In this paper, we establish certain integral estimates …

Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of
operators B that map Pn into itself. In this paper we prove some results concerning the …

Let P (z) be a polynomial of degree n≥ 1. In this paper we consider an operator B, which
carries a polynomial P (z) into BP(z):=λ_0P(z)\,+λ_1\left(nz2\right)\,P'(z)1!\,+λ_2\left(nz2\right) …

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) …