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Is it possible to prove that $|a+b|^p \leq |a|^p+|b|^p$?

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#real-analysis #inequality #convex-analysis
71
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Interior point $x$ characterization as sum $x+\epsilon y$

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#general-topology #convex-analysis #topological-vector-spaces
3.3k
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Proof of first-order condition for differentiable quasiconvex functions

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#convex-analysis #convex-optimization
1.5k
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Why use simplices for singular homology?

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#algebraic-topology #soft-question #convex-analysis #intuition #simplex
159
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proof check : showing convex function has increasing slope

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#proof-verification #convex-analysis
689
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Second order expansion and convexity

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#multivariable-calculus #convex-analysis #taylor-expansion
1.4k
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Sum of convex and concave function can have non global minima

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#convex-analysis #convex-optimization
34
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Sufficient condition on $f$ to make $g(x) = \int_{-\infty}^{\infty} \max(y-x, 0)f(y)dy$ strictly convex?

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#convex-analysis
402
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Midpoint convexity

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#convex-analysis
177
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How to prove that a null controllable region is convex?

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#convex-analysis #control-theory
61
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Borsuks' conjecture in 2d alternative proofs

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#convex-analysis #alternative-proof #combinatorial-geometry
165
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How to derive the conjugate of this function?

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#real-analysis #convex-analysis #convex-optimization
120
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What is the connection between a monotone function in the classical sense and a monotone operator?

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#calculus #real-analysis #convex-analysis #definition #monotone-functions
147
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Product of linear and decreasing function has only one maxima

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#convex-analysis #convex-optimization #convex-geometry
101
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Translates of sets: Is it true that v + conv(A) = conv(v + A)

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#real-analysis #convex-analysis #convex-hulls

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