CCC 0749-159X/93/010023-11 Numerical Methods for Partial Differential Equations, 9, 23-33 (1993) \!:) 1993 John Wiley & Sons, Inc. Local a posteriori error estimators for finite element approximation o( variational inequalities are derived. These are shown to provide upper bounds on the discretization error. Numerical examples are given illustrating the theoretical results. © 1993 John Wiley an...

An O(n log n) procedure is presented for obtaining facets of the knapsack polytope by lifting the inequalities induced by the extensions of strong minimal covers. The procedure does not require any sequential lifting of the inequalities. In contrast, it utilizes the information from the maximal cliques implied by the knapsack constraint for determining the combination of the lifting coe4cients ...

Let x1 and xk be the least and the largest zeros of the Laguerre or Jacobi polynomial of degree k. We shall establish sharp inequalities of the form x1 < A, xk > B, which are uniform in all the parameters involved. Together with inequalities in the opposite direction, recently obtained by the author, this locates the extreme zeros of classical orthogonal polynomials with the relative precision,...

We study a generalization of the classical Marcinkiewicz-Zygmund inequalities. We relate this problem to the sampling sequences in the Paley-Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz-Zygmund inequalities.

Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts.

We consider the reduction of problems on general noncommutative Lp-spaces to the corresponding ones on those associated with finite von Neumann algebras. The main tool is an unpublished result of the first-named author which approximates any noncommutative Lpspace by tracial ones. We show that under some natural conditions a map between two von Neumann algebras extends to their crossed products...

Consider the Dir@hlet problem ]or an elliptic equation in a domain 9 , with eoe]]ieients having discontinuity on a sur]ace 1". Suppose I ~ divides 9 into 91 w 92 (92 the inner core), the thickness o] 91 is o] order o] magnitude s, and the modulus o] ellipticity in 91 is o] order magnitude 21. The asymptotic behavior o] the solution is studied as e -> O, 21 ~ O, provided lira (slY1) exists. Othe...

We study, for all p &gt; 0 the asymptotic behavior of Lp extremal polynomials with respect to measure ? = + ?, denotes a positive whose support is unit circle plus denumerable set mass points, which accumulate at and satisfy Blaschke?s condition ?a ?s, ?s absolutely continuous part satisfies Szeg? singular part. Our main result explicit strong formulas polynomials.

This study describes the frequency and types of articles on social inequalities in health published in 50 years of the Revista de Saúde Pública, taking as reference some milestones that were used as guidelines to develop the research on this theme. Checking titles, keywords and abstracts or full texts, we identified 288 articles whose central or secondary focus was social inequalities in health...