• Title/Summary/Keyword: Chebyshev subspaces

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ON ω-CHEBYSHEV SUBSPACES IN BANACH SPACES

  • Shams, Maram;Mazaheri, Hamid;Vaezpour, Sayed Mansour
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.601-606
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    • 2008
  • The purpose of this paper is to introduce and discuss the concept of ${\omega}$-Chebyshev subspaces in Banach spaces. The concept of quasi Chebyshev in Banach space is defined. We show that ${\omega}$-Chebyshevity of subspaces are a new class in approximation theory. In this paper, also we consider orthogonality in normed spaces.

PSEUDO-CHEBYSHEV SUBSPACES IN $L^1$

  • Mohebi, H.
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.585-595
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    • 2000
  • We give various characterizations of pseudo -Chebyshev Subspaces in the spaces $L^1$(S,${\mu}$) and C(T).