Homogenization in algebras with mean value

MEAN VALUE INTERPOLATION ON SPHERES

In this paper we consider   multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have   concentric spheres. Indeed, we consider the problem in three variables when it is not correct.  

DIAGNOSTIC VALUE OF MEAN PEROXIDASE INDEX IN EARLY KAWASAKI DISEASE

The charts of 27 patients with Kawasaki disease (KD) admitted to Nemazee Hospital in Shiraz from January 1991 to October 1998 were reviewed to identify the results of mean peroxidase index (MPXI) values, a measure of neutrophil staining intensity, obtained by the Technicon HI analyzer (Technicon Instruments Corp., Tarrytown, NY) within the first 10 days of the illness 2 separate groups of ...

Homogenization of Nonlinear PDEs in the Fourier-Stieltjes Algebras

We introduce the Fourier-Stieltjes algebra in Rn which we denote by FS(Rn). It is a subalgebra of the algebra of bounded uniformly continuous functions in Rn, BUC(Rn), strictly containing the almost periodic functions, whose elements are invariant by translations and possess a mean-value. Thus, it is a so called algebra with mean value, a concept introduced by Zhikov and Krivenko (1986). Namely...

Topologically Left Invariant Mean on Dual Semigroup Algebras

Mean value coordinates in 3D

Abstract: Trivariate barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at the vertices. In this paper we generalize these coordinates to convex polyhedra and the kernels of star-shaped polyhedra. These coordinates generalize in a natural way a recently constructed set of coordinate...