3.17 Suppose p

3.17 Only handwritten solution Accepted

Extracted text: 3.17 Suppose p < 1,="" p="" #="" 0.="" show="" that="" the="" function="" 1/p="" (e-)="" n="" f="" (x)="?" with="" dom="" f="R+" is="" concave.="" this="" includes="" as="" special="" cases="" f(x)="(E"_," x;12)²="" and="" the="" harmonic="" mean="" f(x)="(E"" 1/x;)¬1.="" hint.="" adapt="" the="" proofs="" for="" the="" log-sum-exp="" function="" and="" the="" geometric="" mean="" in="" §3.1.5.="">