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CAGD
2006
94views more  CAGD 2006»
14 years 12 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»
14 years 11 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»
14 years 11 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
15 years 3 months 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
15 years 5 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