Consider f, g E T° (R") and 0 > 0. Show the following results on the subdifferential. (a) a(0f)(x) = 0ðf(x), Væ € R". (b) af(x)+ Ôg(x) C a(f +g)(x), Væ E R".
Consider f, g E T° (R") and 0 > 0. Show the following results on the subdifferential. (a) a(0f)(x) = 0ðf(x), Væ € R". (b) af(x)+ Ôg(x) C a(f +g)(x), Væ E R".
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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