Duality in Homogeneous Programming1
نویسنده
چکیده
between such functions as u and ü (the representative function agreeing with m on p¡ and approaching u in the norm) the proof runs as follows: From (23), there is, for any e>0, a 50 such that, for §<S0, \\w— 5ä_1M|| <£ where we write Au = w, Sw = u. On multiplying w' = (w — SPu) by Ss one has, from (24) ||Säw —m|| =||Sjh/|| 5SM'||w'|| < M'e which gives (25) and the scheme is convergent. As in Part I, the converse follows from the Principle of Uniform Boundedness. Reference
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