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- R. Fournier, G-E Piérard
- Journal of medical engineering & technology
- 2000

Compression therapy is frequently used to prevent hypertrophy of post-burn scars. This pilot study was performed in 6 patients to assess non-invasive changes induced in the tensile strength of the skin before any clinical improvement can be perceived. Assessments were performed using a computerized suction device delivering three 5 s cycles of 500 mbar… (More)

In this paper we study some aspects of a conjecture on the convolution of univalent functions in the unit disk D , which was recently proposed by Grünberg, Ronning, and Ruscheweyh (Trans. Amer. Math. Soc. 322 (1990), 377-393) and is as follows: let 3 := {/ analytic in D: \f"(z)\ < Ref'(z), z £ D} and g, h £ S? (the class of normalized univalent functions in… (More)

- Dimiter Dryanov, R. Fournier
- Journal of Approximation Theory
- 2005

Let D be the unit disk in the complex plane C . We prove that for any polynomial p of degree at most n max z ∈ D ∣∣∣p(z) − p(z̄) z − z̄ ∣∣∣ n max 0 j n ∣∣∣∣∣ p ( eij /n ) + p ( e−ij /n )

- P. Huynh, A. Yazman, R. Fournier
- ICRA
- 1992

- R. Fournier
- J. Comput. Meth. in Science and Engineering
- 2008

Let D denote the unit disc of the complex plane and Pn the class of polynomials of degree at most n with complex coefficients. We prove that max z ∈ ∂D ∣∣∣∣pk(z)− pk(z̄) z − z̄ ∣∣∣∣ ≤ n max 0≤j≤n ∣∣∣∣p(eijπ/n) + p(e−ijπ/n) 2 ∣∣∣∣ , where p0 := p belongs to Pn and for k ≥ 0, pk+1(z) := zpk(z) . We also show how this result contains or sharpens certain… (More)

- R. Fournier
- 2014

We study discrete versions of some classical inequalities of Berstein for algebraic and trigonometric polynomials. Mathematics subject classification (2010): 30C10, 41A17.

- R. Fournier, Luis Salinas
- 2007

We give an elementary proof of a statement due to Brézis and Nirenberg: ∑∞ k=−∞ k|ak| is an integer whenever {ak}k=−∞ is a sequence of complex numbers such that ∑∞ k=−∞ akān+k = { 0 if n 6= 0, 1 if n = 0, for all integers n and ∑∞ k=−∞ |k| |ak| <∞.

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