1,720,995 research outputs found
On the Calculuation of Approximate Fekete Points: the Univariate Case
No full textWe discuss some theoretical aspects of the univariate case of the method recently introduced by
Sommariva and Vianello for the calculation of approximate Fekete points for polynomial
interpolation
An Orthogonality Property of the Legendre Polynomials
No full textWe show that the Legendre polynomials have another orthogonality property
The transfinite diameter of a real ball and simplex
No full textWe give formulas for the transfinite diameter of a real ball and for a real simplex
On the convergence of Optimal Measures
No full textWe show that for a compact set K\subset\C^d, the sequence of so-called optimal measures converges
weak-* to the equilibrium measure of Pluripotential Theory for $K.
Correction/addendum to “the extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation” (Ann. polon. math. 123 (2019), 171–195)
No full textWe correct our calculation from the paper in the title of the Monge– Ampère measure for the P∞-extremal function of the complex Euclidean ball in C2. In addition, we indicate how the Monge–Ampère measures for the corresponding Pq-extremal functions vary with q
Polynomial interpolation and approximation in C^d
No full textWe give a survey of the state of the art of the theory of multivariate polynomial interpolation
Tangential Markov Inequalities on Real Algebraic Varieties
No full textWe discuss tangential Markov inequalities on real algebraic varieties
On the Siciak Extremal Function for Real Compact Convex Sets
No full textWe study the Siciak-Zaharjuta extremal function for compact convex sets
- …
