Let {fn} be a sequence of C° functions on a compact interval such that for each k there exists Mk such that |fn" (x)|


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Let {fn} be a sequence of C° functions on a compact interval<br>such that for each k there exists Mk such that |fn

Extracted text: Let {fn} be a sequence of C° functions on a compact interval such that for each k there exists Mk such that |fn" (x)| < mk="" for="" all="" n="" and="" x.="" prove="" that="" there="" exists="" a="" subsequence="" converging="" uniformly,="" together="" with="" the="" derivatives="" of="" all="" orders,="" to="" a="" coo="" function.="">

Jun 04, 2022
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