How Smooth Should f Be So That 1/f Is Convex? (Solved)

Summary: Is there a finite order of smoothness of f that implies that 1/f(x) is convex for all sufficiently large x.

Classification: Primary, Classical Analysis; Secondary, Other

Slavko Simic
Mathematical Institute SANU
Kneza Mihaila 35
11000 Belgrade
Serbia
Email: ssimic@turing.mi.sanu.ac.yu
Phone: +381 186 105
Fax: +381 630 170

Peter Vandendriessche
Student
Faculty of Sciences
Ghent University
B-9000 Ghent
Belgium
Email 1: peter.vandendriessche@gmail.com
Email 2: peter.vandendriessche@ugent.be
Phone: +32 476 38 15 19

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