DOIAbstract
AbstractIn this note, improved lower bounds are derived for the sup norm condition numbers of the B-spline bases. Numerical calculations done earlier by de Boor indicate that the improved lower bounds are also upper bounds
AbstractIn this note, improved lower bounds are derived for the sup norm condition numbers of the B-spline bases. Numerical calculations done earlier by de Boor indicate that the improved lower bounds are also upper bounds
Abstract. The famous de Boor conjecture states that the condition of the polynomial B-spline colloca...
AbstractWe show that the p-norm condition number of the s-variate triangular Bernstein basis for pol...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
AbstractIn this note, improved lower bounds are derived for the sup norm condition numbers of the B-...
AbstractFor the p-norm condition number κk, p of the B-spline basis of order k we prove the upper es...
AbstractThe author's conjecture concerning the knot sequence whose associated B-spline sequence has ...
In this paper we show that the normalized Powell-Sabin B-splines form a stable basis for the max nor...
AbstractIn this paper we show that the normalized Powell–Sabin B-splines form a stable basis for the...
Abstract. It is proved that, among all nonnegative bases of its space, the B-spline basis is optimal...
The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational B...
AbstractWe construct a uniformly stable family of bases for tensor product spline approximation on d...
In this short paper, we are concerned with biorthogonal Wilson bases having B-splines as well as pow...
Splines are currently much used in the field of interpolation to functions and their derivatives. In...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
Along with the classical requirements on B-splines bases (minimal support, positivity, normalization...
Abstract. The famous de Boor conjecture states that the condition of the polynomial B-spline colloca...
AbstractWe show that the p-norm condition number of the s-variate triangular Bernstein basis for pol...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
AbstractIn this note, improved lower bounds are derived for the sup norm condition numbers of the B-...
AbstractFor the p-norm condition number κk, p of the B-spline basis of order k we prove the upper es...
AbstractThe author's conjecture concerning the knot sequence whose associated B-spline sequence has ...
In this paper we show that the normalized Powell-Sabin B-splines form a stable basis for the max nor...
AbstractIn this paper we show that the normalized Powell–Sabin B-splines form a stable basis for the...
Abstract. It is proved that, among all nonnegative bases of its space, the B-spline basis is optimal...
The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational B...
AbstractWe construct a uniformly stable family of bases for tensor product spline approximation on d...
In this short paper, we are concerned with biorthogonal Wilson bases having B-splines as well as pow...
Splines are currently much used in the field of interpolation to functions and their derivatives. In...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
Along with the classical requirements on B-splines bases (minimal support, positivity, normalization...
Abstract. The famous de Boor conjecture states that the condition of the polynomial B-spline colloca...
AbstractWe show that the p-norm condition number of the s-variate triangular Bernstein basis for pol...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
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