PERFECT SPLINES WITH BOUNDARY CONDITIONS AND THEIR APPLICATION TO CERTAIN EXTREMAL PROBLEMS

(整期优先)网络出版时间:1998-02-12
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Inthispaperweconsidertwoproblems.Thefirstisconnectedwiththeoptimalrecoveryoffunctionssatisfyiogboundaryconditions.Thesecondisthecharacterizationoftheuniquefunc-tionwhoser-thderivativehasminimumL_∞-norm,takinggivenvaluesofalternatingsignsandsatisfyingboundaryconditions.