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Best approximation by linear combinations of characteristic functions of half-spaces

Paul C. Kainen, Vera Kurkova, and Andrew Vogt. "Best approximation by linear combinations of characteristic functions of half-spaces." J. of Approximation Theory 122.2 (2003): 151 - 159 .

The set of n-fold linear combinations of the characteristic functions of closed half-spaces is approximatively compact in L_p, p in [1,oo).

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