Zobrazeno 1 - 10
of 780
pro vyhledávání: '"A. Bracciali"'
Given a bivariate weight function defined on the positive quadrant of $\mathbb{R}^2$, we study polynomials in two variables orthogonal with respect to varying measures obtained by special modifications of this weight function. In particular, the vary
Externí odkaz:
http://arxiv.org/abs/2409.16857
We introduce the concept of reflexive moment functional in two variables and the definition of reflexive orthogonal polynomial system. Also reverse matrices and their interesting algebraic properties are studied. Reverse matrices and reflexive polyno
Externí odkaz:
http://arxiv.org/abs/2310.08239
Publikováno v:
Journal of Approximation Theory, v. 295, 2023, 105957
We consider orthogonal polynomials on the unit circle associated with certain semi-classical weight functions. This means that the Pearson-type differential equations satisfied by these weight functions involve two polynomials of degree at most 2. We
Externí odkaz:
http://arxiv.org/abs/2303.16182
We study bivariate orthogonal polynomials associated with Freud weight functions depending on real parameters. We analyze relations between the matrix coefficients of the three term relations for the orthonormal polynomials as well as the coefficient
Externí odkaz:
http://arxiv.org/abs/2208.10361
Publikováno v:
In Linear Algebra and Its Applications 1 July 2024 692:212-240
We develop a formal model of Algorand stateless smart contracts (stateless ASC1.) We exploit our model to prove fundamental properties of the Algorand blockchain, and to establish the security of some archetypal smart contracts. While doing this, we
Externí odkaz:
http://arxiv.org/abs/2009.12140
Publikováno v:
In Wear 15 October 2023 530-531
Publikováno v:
In Wear 15 September 2023 528-529
Decentralisation is one of the promises introduced by blockchain technologies: fair and secure interaction amongst peers with no dominant positions, single points of failure or censorship. Decentralisation, however, appears difficult to be formally d
Externí odkaz:
http://arxiv.org/abs/1911.08182
A result of P\'olya states that every sequence of quadrature formulas $Q_n(f)$ with $n$ nodes and positive numbers converges to the integral $I(f)$ of a continuous function $f$ provided $Q_n(f)=I(f)$ for a space of algebraic polynomials of certain de
Externí odkaz:
http://arxiv.org/abs/1901.01128