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In [14], the lower-order penalty functions varphi_{q,k}(x)=f(x)+qsum_{i=1}^{m} bigl(max bigl{ g_{i}(x),0 bigr} bigr)^{k}, quad k in 0,1), (1.4) have been introduced and shown to be exact under some conditions, but its smoothing does not discussed for (kin 0,1)).
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