3.17 Supposep<1, p # 0. Show that the function 1/p f(x) = ( i=1 with dom f = R+ is concave. This includes as special cases f(x) = (E"_, x;2)2 and the harmonic mean f(x) = (D 1/xi)-1. Hint. Adapt the proofs for the log-sum-exp
3.17 Supposep<1, p # 0. Show that the function 1/p f(x) = ( i=1 with dom f = R+ is concave. This includes as special cases f(x) = (E"_, x;2)2 and the harmonic mean f(x) = (D 1/xi)-1. Hint. Adapt the proofs for the log-sum-exp
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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