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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

8 votes
1 answer
361 views

is there any such result about Bernstein polynomials?

Since $\{{n\choose i} x^i (1-x)^{n-i}\}_{i=0,...,n}$ is a basis of all polynomials of degree at most $n$, so it is possible to approximate $f$ with error $O(1/n)$ using $\sum_{i=1}^n c_i {n\choose i} x …
jian's user avatar
  • 401
0 votes
1 answer
633 views

About the maximum degree of multivariate polynomial interpolation

It is well known that in the univariate case, to interpolate $k$ points in $\mathbb{R}$, we need to use a polynomial of degree $k-1$. My question is about multivariate polynomial interpolation in hi …
jian's user avatar
  • 401