Multivariate sobolev-type orthogonal polynomials

Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials and kernel functions associated with this new inner product can be explicitly expressed in terms of those corresponding with the original measure. We apply our results to the particular case of the classical orthogonal polynomials on the unit ball, and we obtain the asymptotics of the kernel functions. © 2011 Universidad de Jaén.

Proyecciones de población a largo plazo = Long-range population projections

Incluye Bibliografía

Proyecciones de población = Population projections

Incluye Bibliografía

Demographic models for projections of social sector demand

Includes bibliography

Proyecciones del desarrollo latinoamericano en los años ochenta = Latin American development projections for the 1980s

Incluye Bibliografía

Szego{double acute} and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations

We study polynomials which satisfy the same recurrence relation as the Szego{double acute} polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal polynomials that follow from these Szego{double acute} polynomials are also considered. With positive values for the reflection coefficients, zeros of the Szego{double acute} polynomials, para-orthogonal polynomials and associated quadrature rules are also studied. Finally, again with positive values for the reflection coefficients, interlacing properties of the Szego{double acute} polynomials and polynomials arising from canonical spectral transformations are obtained. © 2012 American Mathematical Society.

Preparing subnational population projections: a manual for selected indirect methods

Includes bibliography

Consistency of the population projections prepared by CELADE with those of the national governments

El CELADE elabora proyecciones nacionales de poblacion para los 20 paises de la region, en la mayoria de los casos en colaboracion con las oficinas gubernamentales, lo que le otorga a aquellas un caracter oficial. El Centro tambien asesora a los paises en la elaboracion de proyecciones especificas y presta asistencia tecnica; en forma reciente ha disenado un paquete computacional para la preparacion y analisis preliminares de las proyecciones de poblacion. Los problemas mas frecuentes que surgen del trabajo conjunto con los paises dicen relacion con la rotacion del personal administrativo y profesional, la falta de personal calificado, la formulacion de metas no consistentes con la realidad demografica del pais.

A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas

The class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, where λ>0, are known to have all their zeros simple and exactly on the unit circle |z|=1. In this note we look at some of the associated extremal and orthogonal properties on the unit circle and on the interval (-1,1). We also give the associated Gaussian type quadrature formulas. © 2012 IMACS.

Tendencias y proyecciones a largo plazo del desarrollo económico de América Latina = Long-term trends and projections of Latin American economic development

Incluye Bibliografía

Desarrollo económico: una evaluación y proyecciones 1985-1995 = Economic development: an appraisal, and projections 1985-1995

Incluye Bibliografía