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Various characterisations of Extended Chebyshev spaces via blossoms

open access: yesComptes Rendus. Mathématique, 2004
Among all W-spaces (i.e. spaces with nonvanishing Wronskians), extended Cheyshev spaces can be characterised by the existence of either Bernstein bases, or B-spline bases, or Bézier points, or blossoms in the spaces obtained by integration.
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A NORM INEQUALITY FOR CHEBYSHEV CENTRES [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 1995
In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a ...
doaj  

On Chebyshev centers in Banach spaces

open access: yes
In this note, we observe that $X\in (GC)$ if $X$ admits Chebyshev center for any finite set in it. This answers the problem raised by Veselý, addressed in [{\em Generalized centers of finite sets in Banach spaces}, Acta Math. Univ. Comenian. (N.S.) {\bf 66}(1) (1997), 83--115].
Das, Syamantak, Paul, Tanmoy
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Simulations and analysis of underwater acoustic wave propagation model based on Helmholtz equation

open access: yesApplied Mathematics in Science and Engineering
In this study, we explore the effectiveness of elliptic partial differential equations (PDEs) in two and three dimensional space based on Helmholtz equation for simulations of acoustic sound in a very complex environment of propagation. For this purpose,
Maryam Ahmed Alanazi, Ishtiaq Ali
doaj   +1 more source

ε-weakly Chebyshev subspaces of banach spaces

open access: yesAnalysis in Theory and Applications, 2003
We will define and characterize e-weakly Chebyshev subspaces of Banach spaces. We will prove that all closed subspaces of a Banach space X are e-weakly Chebyshev if and only if X is reflexive.
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