충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권3호
  • /
  • Pages.435-442
  • /
  • 2010
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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REMARK FOR CALCULATING THE BEST SIMULTANEOUS APPROXIMATIONS

  • 투고 : 2010.03.08
  • 심사 : 2010.08.12
  • 발행 : 2010.09.30
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초록

This paper is concerned with algorithm for calculating one-sided best simultaneous approximation, in the case of continuous functions. we will apply any subgradient algorithm. In other words, we consider the algotithms from a mathematical, rather then computational, point of view.

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참고문헌

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  2. S. H. Park and H. J. Rhee, Characterization of best simultaneous approximation for a compact set, Bull K. Math. Soc. 33 (1996), 435-444.
  3. S. H. Park and H.J. Rhee, One-sided best simultaneous L1-approximation, J. K. Math. Soc. 33 (1996), 155-167.
  4. A. Pinkus, On $L_1$-approximation, Cambridge Tracts in Mathematics, 93 Cam- bridge University Press, Cambridge-New York, 1989.
  5. H. J. Rhee , An algorithm of the one-sided best simultaneous approximation, K. Ann. Math. 24 (2007), 69-79.
  6. I. Singer , Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, Springer-Verlag, New York, 1970.