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- Dorian Popa, Ioan Rasa
- Applied Mathematics and Computation
- 2012

- Anca Ciurte, Sergiu Nedevschi, Ioan Rasa
- Numerical Algorithms
- 2014

We consider nonlinear algebraic systems of the form F ( x ) = Ax + p , x ∈ ℝ + n $F(x)= Ax+p, x\in \mathbb {R}^{n}_{+}$ , where A is a positive matrix and p a non-negative vector. They are involved quite naturally in many applications. For such systems we prove that a positive solution x ∗ exists and is unique. Moreover, we prove that x ∗ is an attraction… (More)

- MATEMATIQKI VESNIK, Heiner Gonska, Ioan Raşa, H. Gonska, I. Raşa
- 2009

In the present note we give a full quantitative version of a theorem of Floater dealing with the asymptotic behaviour of differentiated Bernstein polynomials. While Floater’s result is a generalization of the classical Voronovskaya theorem, ours generalizes a hardly known quantitative version of this theorem due to Videnskĭı, among others.

- Ioan Rasa
- 2009

We investigate the iterates of positive linear operators on C[0, 1] which preserve the linear functions, and the asymptotic behaviour of the associated semigroup. The general results are applied to the Bernstein-Schnabl operators on the unit interval.

- Ioan Rasa
- Applied Mathematics and Computation
- 2015

- Heiner Gonska, Margareta Heilmann, Ioan Rasa
- Journal of Approximation Theory
- 2009

- Ana Maria Acu, Ioan Rasa
- Numerical Algorithms
- 2016

Using Taylor’s formula some inequalities for a positive linear functional are considered in this paper. These results lead us to new estimates of the differences of certain positive linear operators. Applications for some known positive linear operators are given.

- Antonio Attalienti, Rosa Maria Mininni, Ioan Rasa
- Journal of Approximation Theory
- 2011

- Tuncer Acar, Ali Aral, Ioan Rasa
- Applied Mathematics and Computation
- 2014

- Anca Ciurte, Sergiu Nedevschi, Ioan Rasa
- 2013 IEEE 9th International Conference on…
- 2013

Nowadays nuclear imaging is increasingly used for non-invasive diagnosis. The image modalities in nuclear imaging suffer of worse statistics, in comparison with computed tomography, since they are based on emission transition tomography. Thus, precise reconstruction methods that can deal with incomplete or missing measurements are needed in order to improve… (More)