A result of Pólya states that every sequence of quadrature formulas Q n (f) with n nodes and positive Cotes numbers converges to the integral I(f) of a continuous function f provided Q n (f) = I(f) for a space of algebraic ...

O presente trabalho tem como objetivo principal estudar o comportamento dos zeros de alguns tipos de polinômios auto-recíprocos gerados a partir de polinômios quaseortogonais de Chebyshev de ordens um e dois. Os zeros dos ...

Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal ...

Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal ...

A method is presented for the calculation of roots of non-polynomial functions, motivated by the requirement to generate quadrature rules based on non-polynomial orthogonal functions. The approach uses a combination of ...

The aim of this paper is to study some continuous-time bivariate Markov processes arising from group representation theory. The first component (level) can be either discrete (quasi-birth-and-death processes) or continuous ...

Recently, more research have been conducted on the analysis of the vibration response of rotors, so that new techniques, which are used to characterize the dynamic response of rotating machines, have been developed to aid ...

In this dissertation, the concept of s-coherence, or symmetric $(1,1)$-coherence, of pairs of quasi-definite linear functionals, and the polynomials orthogonal with respect to certain Sobolev inner product type play a ...