For i = 1,2, â€¢â€¢â€¢ ,n, pi shall denote the length of the mesh interval [xi-i,Xi\. Let p = m.sxi<i<npi and p' = mini<i<n p{. P is said to be a uniform mesh if pi is a constant for all i. Throughout, hâ€¦ (More)

There are two main approaches for studying smooth piecewise defined complex polynomial functions. The approach introduced by Ahlberg et al. [1] consists in defining a piecewise complex polynomialâ€¦ (More)

We consider the regularity of Birkhoff interpolation on some non-uniformly distributed roots of unity. We determine the range of values of Î¾ in the complex plane which makes the problem of lacunaryâ€¦ (More)

We study here the regularity of certain PÃ¡l-type interpolation problems involving the mth roots of unity along with an additional point Î¶ and the nth roots of unity. We determine the largest domainsâ€¦ (More)

In this paper the regularity of two interpolation problems is proved. One uses (0,1,..., r-2,r) interpolation with as nodes MÃ¶bius transforms of nth roots of unity with the point z=1 added and theâ€¦ (More)

Wachspress quadrilateral patches have been recently studied from the point of view of applications to surface modelling in CAGD [1], [3], [4]. Some more applications for defining barycentricâ€¦ (More)