Results 181 to 190 of about 45,837 (216)

Chebyshev Spaces and Bernstein Bases

Constructive Approximation, 2004
We characterize extended Chebyshev spaces by the fact that any Hermite interpolation problem involving at most two different points has a unique solution. This enables us to prove that, in a given space, Bernstein bases exist if and only if the space obtained by differentiation is an extended Chebyshev space.
Marie-Laurence Mazure
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Chebyshev inequalities in symmetric spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1971
The characterization (by means of inequalities) of some special Banach spaces is investigated.
Kuricyn, Ju. G., Petunin, Ju. I., Semenov, E. M.   +2 more
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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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Chebyshev spaces with polynomial blossoms

Advances in Computational Mathematics, 1999
After a short introduction the author discusses in section 2 Chebyshev spaces and blossoms (osculating flats and Chebyshev blossoming, dimension elevation, rational and polynomial blossoms). The third section is dedicated to polynomial Chebyshev blossoms. An explicit description of the Chebyshev-de Casteljau algorithm is included.
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Extended Chebyshev spaces in rationality

BIT Numerical Mathematics, 2013
Let \([a,b]\) be a given interval. An \(n+1\)-dimension extended Chebyshev space on \([a,b]\) is defined by means of generalised derivatives associated with systems of weight functions. An iterative process of building all such systems is proposed in the article.
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Lagrange Interpolatory Subdivision Schemes in Chebyshev Spaces

Foundations of Computational Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ramsey theory in the -space with Chebyshev metric

Russian Mathematical Surveys, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kupavskii, A. B., Sagdeev, A. A.
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CONVEXITY OF CHEBYSHEV SETS IN HILBERT SPACES

Rocky Mountain Journal of Mathematics
This is a short, but well-written, survey on the convexity of Chebyshev sets in Hilbert and Banach spaces, with interesting historical remarks. The bibliography contains the essential papers on the subject (mainly the survey ones), with one exception -- the recent book, [\textit{A. R. Alimov} and \textit{I. G. Tsar'kov}, Geometric approximation theory.
Kumar, Jatinder, Narang, T. D.
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Design with Quasi Extended Chebyshev piecewise spaces

Computer Aided Geometric Design, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CHEBYSHEV SUBSETS OF A HILBERT SPACE SPHERE

Journal of the Australian Mathematical Society, 2019
The Chebyshev conjecture posits that Chebyshev subsets of a real Hilbert space $X$ are convex. Works by Asplund, Ficken and Klee have uncovered an equivalent formulation of the Chebyshev conjecture in terms of uniquely remotal subsets of $X$. In this tradition, we develop another equivalent formulation in terms of Chebyshev subsets of the unit sphere ...
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