Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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PARAMETRIC APPROXIMATION OF MONOTONE DECREASING SEQUENCE

  • Rhee, Hyang J. (Department of Liberal Arts Duksung Women's University)
  • Received : 2004.03.31
  • Published : 2004.04.30
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Abstract

The aim of this work is to generalize parametric approximation in order to apply them to an one-sided $L_1$-approximation. A natural question now arises : when is the parameter map $$P:f{\rightarrow}P_{K(f)}(f)$$ continuous on $C_1(X)$ ? We find some results with a monotone decreasing sequence about above question.

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