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Polynomial Chebyshev splines

Computer Aided Geometric Design, 1999
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Mazure, Marie-Laurence   +1 more
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Multivariate Chebyshev polynomials

Journal of Physics A: Mathematical and Theoretical, 2013
We study multivariate Chebyshev polynomials associated with root systems. Using properties of specialized singular elements corresponding to a root system , we construct explicitly the measure weight function γ. The latter ensures that these polynomials are orthonormal; it defines the scalar product in the function space where multivariate U-type ...
V D Lyakhovsky, Ph V Uvarov
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Chebyshev Spaces of Polynomials

SIAM Journal on Numerical Analysis, 1976
Spaces of polynomials of degrees $ \leqq n - 1$ which satisfy $r < n$ interpolatory conditions of the form $p^{(j)} (\xi _i ) = 0$ are discussed. Necessary and sufficient conditions for such spaces to be Chebyshev spaces are given.
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On the Generalized Chebyshev Polynomials

SIAM Journal on Mathematical Analysis, 1987
We study the spectrum of the Jacobi matrix \((\delta_{m,n+1}+\delta_{m,n-1}+aq^ n\delta_{m,n})\), \(m,n=0,1,..\). and the corresponding orthogonal polynomials. The spectral measure is computed when \(q\in (-1,1)\) and sufficient conditions are given to guarantee the absolute continuity of the spectral measure. When \(q>1\) or \(
Ismail, Mourad E. H., Mulla, Fuad S.
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