3 citations · 4 across the 3 of their papers we have counts for
4 papers
Rational Approximation and Sobolev-type Orthogonality
Abel Díaz-González, Héctor Pijeira-Cabrera, Ignacio Pérez-Yzquierdo
In this paper, we study the sequence of orthogonal polynomials with respect to the Sobolev-type inner product $$\langle f,g \rangle= \int_{-1}^{1} f(x) g(x…
Sobolev extremal polynomials with respect to mutually singular measures
A. Diaz Gonzalez, G. Lopez Lagomasino, H. Pijeira Cabrera
We consider extremal polynomials with respect to a Sobolev-type -norm, with and measures supported on compact subsets of the real line. For a wide class of such ext…
Differential orthogonality: Laguerre and Hermite cases with applications
J. Borrego-Morell, H. Pijeira-Cabrera
Let be a finite positive Borel measure supported on R, $\LL[f] =xf''+(α+1-x)f'$ with , or $\LL[f] =\frac{1}{2}f''-xf'$, and a natural number. We study algebraic, anal…
On Polar Legendre Polynomials
Héctor Pijeira Cabrera, José Y. Bello Cruz, Wilfredo Urbina
We introduce a new class of polynomials , that we call polar Legendre polynomials, they appear as solutions of an inverse Gauss problem of equilibrium position of a fiel…