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We give a short account on the methods for numerical inversion of the Laplace transform and also propose a new method. Our method is inspired and motivated from a problem of the evaluation of the Müntz polynomials (see [1]), as well as the construction of the generalized Gaussian quadrature rules for the Müntz systems (see [2]). As an illustration of our… (More)

In this paper we consider the so called a cone metric type space, which is a generalization of a cone metric space. We prove some common fixed point theorems for four mappings in those spaces. Obtained results extend and generalize well-known comparable results in the literature. All results are proved in the settings of a solid cone, without the assumption… (More)

The purpose of this article is to generalize common fixed point theorems under contractive condition of Ćirić's type on a cone metric type space. We give basic facts about cone metric type spaces, and we prove common fixed point theorems under contractive condition of Ćirić's type on a cone metric type space without assumption of normality for cone. As… (More)

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic, Marija P. Stanic
- Applied Mathematics and Computation
- 2011

A generalized N-point Birkhoff – Young quadrature of interpolatory type , with the Cheby-shev weight , for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an orthogonality relation. Some special cases of this quadrature formula are derived. For numerical integration over a line segment in the… (More)

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic
- Numerische Mathematik
- 2004

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic
- Numerische Mathematik
- 2006

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic
- SIAM J. Scientific Computing
- 2005

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic
- Adv. Comput. Math.
- 2010

In this paper, we develop the theory of so-called nonstandard Gaussian quadra-ture formulae based on operator values for a general family of linear operators, acting of the space of algebraic polynomials, such that the degrees of polynomials are preserved. Also, we propose a stable numerical algorithm for constructing such quadrature formulae. In particular… (More)

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic, Marija P. Stanic
- Appl. Math. Lett.
- 2009

- Gradimir V. Milovanovic, Aleksandar S. Cvetkovic, Marija P. Stanic
- Computers & Mathematics with Applications
- 2008