R^n →R is convex, we write L=H*. (a) Let H(p) = (1/r)*|p|^r, for 1 < r < ∞. Show L(v) = (1/s)*|v|^s, where 1/r + 1/s
R^n →R is convex, we write L=H*. (a) Let H(p) = (1/r)*|p|^r, for 1 < r < ∞. Show L(v) = (1/s)*|v|^s, where 1/r + 1/s
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If H: R^n →R is convex, we write L=H*.
(a) Let H(p) = (1/r)*|p|^r, for 1 < r < ∞. Show
L(v) = (1/s)*|v|^s, where 1/r + 1/s = 1.
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