Give an example of a function f: R → R such that f(x1+x2) ≤ ½ ƒ (x1) + ½{ƒ (x2) for all x1, x2 € R, but f is not convex.
Give an example of a function f: R → R such that f(x1+x2) ≤ ½ ƒ (x1) + ½{ƒ (x2) for all x1, x2 € R, but f is not convex.
Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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Mathematics: Optimization Techniques
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![Give an example of a function f : R → R such that f(x1+x2) ≤ ½ ƒ (x1) + ½ ƒ (x₂)
for all x₁, x2 € R, but f is not convex.
this is a very very weird function. The fact
that R is a vector space over Q is relevant to its construction.).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0ff8323-0fa0-42e7-8175-4472db174a53%2Fa06fabf4-af24-444e-b955-8671fabc6e3c%2Fyjbheph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Give an example of a function f : R → R such that f(x1+x2) ≤ ½ ƒ (x1) + ½ ƒ (x₂)
for all x₁, x2 € R, but f is not convex.
this is a very very weird function. The fact
that R is a vector space over Q is relevant to its construction.).
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