DEGREE OF COPOSITIVE POLYNOMIAL APPROXIMATION

(整期优先)网络出版时间:1989-03-13
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Denotebyn(f)thedegreeofcopositiveapproximationtof(x)bypolynomialsofdegree≤n.Forfunctionf(x)∈Ck[-1,1]whichalternatesinsignfinitelymanytimesin[-1,1],theauthorobtainsthefollowingJacksontypeestimatesn(f)≤Cn-kw(fk,1/n)foaanypositiveintegerk.