Now showing items 1-8 of 8
On the q-polynomials: a distributional study [Article]
In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term ...
On the linearization problem involving Pochhammer symbols and their q-analogues [Article]
In this paper we present a simple recurrent algorithm for solving the linearization problem involving some families of q-polynomials in the exponential lattice x(s)=c1qs+c3. Some simple examples are worked out in detail.
The limit relations between generalized orthogonal polynomials [Article]
We consider the different limit transitions for modifications of the classical polynomials obtained by the addition of one or two point masses at the ends of the interval of orthogonality. The connections between Jacobi, ...
On the "Favard theorem" and its extensions [Article]
In this paper we present a survey on the "Favard theorem" and its extensions.
Trudinger inequalities without derivatives [Article]
(American Mathematical Society, 2002)
We prove that the Trudinger inequality holds on connected homogeneous spaces for functions satisfying a very weak type of Poincar´e inequality. We also illustrate the connection between this result and the John-Nirenbe ...
On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3 [Article]
(Taylor & Francis, 1999)
The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential ...
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds [Article]
(Duke University Press, 2004-07-15)
We prove that every continuous mapping from a separable infinitedimensional Hilbert space X into R m can be uniformly approximated by C∞ smooth mappings with no critical points. This kind of result can be regarded as a ...
The L(log L)e endpoint estimate for maximal singular integral operators [Article]
We prove in this paper the following estimate for the maximal operator T ∗ associated to the singular integral operator T: kT ∗ fkL 1,∞ (w) . 1 ǫ Z Rn | f(x)| ML(log L) ǫ (w)(x) dx, w ≥ 0, 0 < ǫ ≤ 1. This ...