将Chebyshev子空间扩展到高维弱Chebyshev子空间及相关结果

Journal of Applied and Computational Mathematics Pub Date : 2017-07-30 DOI:10.4172/2168-9679.1000347

Mansour Alyazidi-Asiry

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引用次数: 0

摘要

设G={g1，…，gn}是C[a, b]的n维Chebyshev子空间，使得1∈G和U=(u0, u1，…，un)是C[a, b]的(n+1)维子空间，其中u0 =1, ui =gi, i=1.....n.在G的一定限制下，证明了U是一个切比雪夫子空间当且仅当它是一个弱切比雪夫子空间。此外，还建立了其他一些相关结果。

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Extending a Chebyshev Subspace to a Weak Chebyshev Subspace ofHigher Dimension and Related Results

Let G={g1,…,gn} be an n-dimensional Chebyshev sub-space of C[a, b] such that 1∉G and U=(u0, u1 ,…,un ) be an (n+1)-dimensional subspace of C[a, b] where u0 =1, ui =gi , i=1….. n. Under certain restriction on G, we proved that U is a Chebyshev subspace if and only if it is a Weak Chebyshev subspace. In addition, some other related results are established.

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Journal of Applied and Computational Mathematics

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