Some new results for the Lagrange polynomials in several variables
نویسندگان
چکیده
منابع مشابه
Some Results Related to Group Actions in Several Complex Variables
In this talk, we’ll present some recent results related to group actions in several complex variables. We’ll not aim at giving a complete survey about the topic but giving some our own results and related ones. We’ll divide the results into two cases: compact and noncompact transformation groups. We emphasize some essential differences between the two cases. In the compact case, we’ll mention s...
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 کاملClosed and Irreducible Polynomials in Several Variables
New and old results on closed polynomials, i.e., such polynomials f ∈ k[x1, . . . , xn]\k that the subalgebra k[f ] is integrally closed in k[x1, . . . , xn], are collected in the paper. Using some properties of closed polynomials we prove the following factorization theorem: Let f ∈ k[x1, . . . , xn] \ k, where k is algebraically closed. Then for all but finite number μ ∈ k the polynomial f + ...
متن کاملKrall-type orthogonal polynomials in several variables
For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional in several variables, explicit formulas of orthogonal polynomials are derived from the orthogonal polynomials associated with the moment functional. Explicit formula for the reproducing kernel is also derived and used to establish certain inequalities for classical orthogonal polynomials. MSC 2000 : 42C...
متن کاملOn 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.
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: The ANZIAM Journal
سال: 2007
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100012815