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How can i prove $h(x)>g(x)$ when $0<x<1$ for $g(x) = (1+i)^x$ and $h(x)=(1+ix)$

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#convex-analysis
743
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Continuous function as difference of convex functions

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#integration #convex-analysis #stochastic-calculus
297
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Absolute continuity of convex function

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#convex-analysis #absolute-continuity
144
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Does the convex cone of monotonic functions on a compact set admit a countable conic generating set?

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#functional-analysis #vector-spaces #convex-analysis #monotone-functions #convex-cone
177
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Does subdifferential change if the inner product of the spaces changes?

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#linear-algebra #convex-analysis #convex-optimization
82
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Convex or not convex?

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#linear-algebra #derivatives #convex-analysis
91
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How is the inequality constraint $\mbox{Tr}(W) \geq c$ convex?

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#optimization #convex-analysis #convex-optimization #constraints
192
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Conjugate continuous?

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#convex-analysis #convex-optimization #convex-geometry
667
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Characterization of interior point of convex set using normal cones

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#convex-analysis
434
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$\mathcal{F}$ convex and lower continuous $\Rightarrow$ $\mathcal{F}$ weakly lower continuous

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#functional-analysis #convex-analysis #hilbert-spaces #weak-convergence
469
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Discontinuous convex function over an open convex set

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#convex-analysis #continuity
76
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Convex Set Examples.

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#convex-analysis
1.4k
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Does a convex function preserve convexity of sets?

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#real-analysis #convex-analysis
492
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Computing proximal mapping for a quadratic function

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#convex-analysis #convex-optimization #matrix-calculus
735
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Proximal normal cone and convex sets

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#convex-analysis #hilbert-spaces #convex-geometry #subgradient

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