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Characterization of generalized convex functions by their best approximation in sign-monotone norms

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Publication:1257175
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DOI10.1016/0021-9045(78)90020-5zbMath0405.41019OpenAlexW1987504240MaRDI QIDQ1257175

E. Kimchi

Publication date: 1978

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90020-5


zbMATH Keywords

Best ApproximationsAbstract Approximation TheoryChebyshev SystemsSign Monotone Norm


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63)


Related Items (2)

Best local approximation and generalized convexity ⋮ Degeneracy in WT-spaces



Cites Work

  • Unnamed Item
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  • Characterization of generalized convex functions by best \(L^2\)- approximations
  • A necessary condition for best approximation in monotone and sign- monotone norms
  • Functions with strictly decreasing distances from increasing Tchebycheff subspaces
  • Restricted Range Approximation of k-Convex Functions in Monotone Norms


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