Some researches on trivariate Lagrange interpolation
نویسندگان
چکیده
منابع مشابه
On Multivariate Lagrange Interpolation
Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences. We prove that the finite difference admits an integral representation involving simplex spline functions. In particular, this provides a remainder formul...
متن کاملSome new results on Lagrange interpolation for bounded variation functions
The paper deals with the Lagrange interpolation of functions having a bounded variation derivative. For special systems of nodes, it is shown that this polynomial sequence converges with the best approximation order. The L weighted case is also discussed.
متن کاملOn Boundedness of Lagrange Interpolation
We estimate the distribution function of a Lagrange interpolation polynomial and deduce mean boundedness in Lp; p < 1: 1 The Result There is a vast literature on mean convergence of Lagrange interpolation, see [4{ 8] for recent references. In this note, we use distribution functions to investigate mean convergence. We believe the simplicity of the approach merits attention. Recall that if g : R...
متن کاملSome Researches on Histones
The histone extracted from calf thymus glands is a complex system of proteins, which can be fractionated by chromatography on carboxymethyl cellulose columns into three principal fractions (1) very lysine-rich, (2) moderately lysine-rich, (3) arginine-rich. When examined by starch gel chromatography each of these gives more than one band. Methods have been devised for further separation of the ...
متن کاملBarycentric Lagrange Interpolation
Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable. It deserves to be known as the standard method of polynomial interpolation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2006
ISSN: 0377-0427
DOI: 10.1016/j.cam.2005.03.083