Finding all systems of weight functions associated with a given extended Chebyshev space
From MaRDI portal
Publication:630500
DOI10.1016/j.jat.2010.10.003zbMath1217.41030OpenAlexW2091206566MaRDI QIDQ630500
Publication date: 17 March 2011
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2010.10.003
Related Items (26)
Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation ⋮ Design with quasi extended Chebyshev piecewise spaces ⋮ Constructing totally positive piecewise Chebyshevian B-spline bases ⋮ Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines ⋮ Mixed hyperbolic/trigonometric spaces for design ⋮ Approximation by Müntz spaces on positive intervals ⋮ Design or not design? A numerical characterisation for piecewise Chebyshevian splines ⋮ Design with L-splines ⋮ Tchebycheffian B-splines in isogeometric Galerkin methods ⋮ Geometrically continuous piecewise Chebyshevian NU(R)BS ⋮ Lagrange interpolatory subdivision schemes in Chebyshev spaces ⋮ Polynomial splines as examples of Chebyshevian splines ⋮ The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions ⋮ Extended Chebyshev spaces in rationality ⋮ Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities ⋮ How to build all Chebyshevian spline spaces good for geometric design? ⋮ Piecewise extended Chebyshev spaces: a numerical test for design ⋮ Piecewise Chebyshevian splines: interpolation versus design ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ On a new criterion to decide whether a spline space can be used for design ⋮ Quasi extended Chebyshev spaces and weight functions ⋮ Dimension elevation is not always corner-cutting ⋮ Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties ⋮ Critical length: an alternative approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometry of Tchebycheffian splines
- Bernstein-type operators in Chebyshev spaces
- Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
- Chebyshev spaces and Bernstein bases
- Extended Chebyshev piecewise spaces characterised via weight functions
- Bernstein operators for exponential polynomials
- Blossoming: A geometrical approach
- Blossoms and optimal bases
- Blossoms of generalized derivatives in Chebyshev spaces
- Critical length for design purposes and extended Chebyshev spaces
- Disconjugacy
- Ready-to-Blossom Bases in Chebyshev Spaces
This page was built for publication: Finding all systems of weight functions associated with a given extended Chebyshev space