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CAGD
2006
94views more  CAGD 2006»
13 years 8 months ago
High order approximation of rational curves by polynomial curves
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lowe...
Michael S. Floater
JAT
2008
57views more  JAT 2008»
13 years 8 months ago
Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials
We obtain optimal trigonometric polynomials of a given degree N that majorize, minorize and approximate in L1(R/Z) the Bernoulli periodic functions. These are the periodic analogue...
Emanuel Carneiro
JCT
2006
81views more  JCT 2006»
13 years 8 months ago
New identities involving Bernoulli and Euler polynomials
Abstract. Using the finite difference calculus and differentiation, we obtain several new identities for Bernoulli and Euler polynomials; some extend Miki's and Matiyasevich&#...
Hao Pan, Zhi-Wei Sun
FOCS
1992
IEEE
14 years 23 days ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo
GD
2004
Springer
14 years 2 months ago
On the Realizable Weaving Patterns of Polynomial Curves in R3
We prove that the number of distinct weaving patterns produced by n semi-algebraic curves in R3 defined coordinate-wise by polynomials of degrees bounded by some constant d, is b...
Saugata Basu, Raghavan Dhandapani, Richard Pollack