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Does $f'(x)>\frac{f(x)}{x}$ for $x>0$ imply $f$ is convex?

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#functions #derivatives #convex-analysis #improper-integrals
140
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If one of the leading second order principal minor of a Hessian matrix is negative can I claim that the matrix is negative semi-definite?

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#linear-algebra #matrices #convex-analysis #convex-optimization #hessian-matrix
165
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Show convexity of quadratic function

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#convex-analysis
256
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Determine the convex hull of a set

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#convex-analysis #convex-hulls
149
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Solve $\frac{x+\dots+x^K}{K} = \frac{1}{2}$ for large values of $K$

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#real-analysis #calculus #limits #polynomials #convex-analysis
910
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Showing that a subset of the domain of a strongly convex function is bounded

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#linear-algebra #convex-analysis
130
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Convex functions gradient

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#real-analysis #convex-analysis #convex-optimization
185
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Is concave image of a compact convex set bounded

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#functional-analysis #functions #convex-analysis #convex-optimization #fixed-point-theorems
40
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A counterexample for Polar Calculus in J. M. Borwein A. S Lewis book P70 Q8 (b)

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#convex-analysis
1.4k
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$\min_x \max_yf(x,y) = \min_y \max_x f(x,y)$

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#optimization #convex-analysis #convex-optimization #game-theory #maxima-minima
85
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convex optimisation using ADMM

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#optimization #convex-analysis
65
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Is this figure of quasiconvex function correct? (Figure 3.10 in Nonlinear Programming by Bazaraa, Sherali, and Shetty)

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#convex-analysis #convex-optimization
66
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Convex function defined in convex compact set

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#real-analysis #calculus #convex-analysis
33
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the visibility points of compact set

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#real-analysis #calculus #geometry #logic #convex-analysis
46
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Origins and applications of such generalized convexities as, e.g., HA-convexity, GG-convexity, etc.

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#functions #soft-question #convex-analysis

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