On lagranges polynomials of three variables
نویسندگان
چکیده
منابع مشابه
Quasi-interpolation by quadratic piecewise polynomials in three variables
A quasi-interpolation method for quadratic piecewise polynomials in three variables is described which can be used for the efficient visualization of gridded volume data. We analyze the smoothness properties of the trivariate splines. We prove that the splines yield nearly optimal approximation order while simultaneously its piecewise derivatives provide optimal approximation of the derivatives...
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If p is a prime, let Zp denote the integers modulo p and Z* the set of nonzero elements of Zp. It is well known that every function from Zp x Zp x Zp into Zp can be represented as a polynomial of degree < p in each variable. We say that a polynomial f(x19 x29 x3) with coefficients in Zp is a local permutation polynomial in three variables over Zp if f(x19a9 b) 9 f{c9x29 d) , and f(e9f9 x$) are ...
متن کاملOn Discrete Orthogonal Polynomials of Several Variables
Let V be a set of points in R. Define a linear functional L on the space of polynomials, Lf = ∑ x∈V f(x)ρ(x), where ρ is a nonzero function on V . The structure of discrete orthogonal polynomials of several variables with respect to the bilinear form 〈f, g〉 = L(fg) is studied. For a given V , the subspace of polynomials that will generate orthogonal polynomials on V is identified. One result sh...
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چکیده ندارد.
15 صفحه اولOn Orthogonal Polynomials in Several Variables
We report on the recent development on the general theory of orthogonal polynomials in several variables, in which results parallel to the theory of orthogonal polynomials in one variable are established using a vectormatrix notation.
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 1998
ISSN: 0716-0917,0717-6279
DOI: 10.22199/s07160917.1998.0002.00007