Question

For positive, real $a$, $b$, $c$ with $a+b+c=1$, show $\sum_{cyc}\frac{a^3}{a^2+b^2}\geq \frac12$

score 38 · Answer 1 · 2019-08-02 07:21:53

38

Views

For positive, real $a$, $b$, $c$ with $a+b+c=1$, show $\sum_{cyc}\frac{a^3}{a^2+b^2}\geq \frac12$

Published on 02 Aug 2019 - 7:21

score 71 · Answer 2 · 2019-08-06 00:45:27

71

Views

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40

Views

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score 50 · Answer 4 · 2019-08-09 09:57:08

50

Views

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48

Views

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59

Views

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score 1.1k · Answer 7 · 2019-08-14 15:09:24

1.1k

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score 387 · Answer 8 · 2026-03-25 06:19:20

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score 55 · Answer 10 · 2019-08-18 18:33:23

55

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score 155 · Answer 12 · 2019-08-20 22:57:43

155

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Published on 20 Aug 2019 - 22:57

score 134 · Answer 13 · 2019-08-23 12:23:06

134

Views

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Published on 23 Aug 2019 - 12:23

score 86 · Answer 14 · 2026-03-25 14:18:39

86

Views

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score 54 · Answer 15 · 2019-09-15 00:13:34

54

Views

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Published on 15 Sep 2019 - 0:13

List Question

For positive, real $a$, $b$, $c$ with $a+b+c=1$, show $\sum_{cyc}\frac{a^3}{a^2+b^2}\geq \frac12$

Stable numerical integration of a PDE with a bounded variable

How can we show the following metric regularity property (in the context of constrained optimization)

Why does the minimum of F correspond to the lowest eigenvalue of L?

Minimizing a Lebesgue integral subject to a single equality constraint

How can I adjust the coefficients in the constraints of a Linear Programming problem with no objective function until I get a solution?

Maximum Entropy Distribution with Constraint

Changing a strict inequality to a non-strict inequality?

Find the desired function or disprove its existence

Constrained optimization using function of function

How to name types of constraints?

Problem with finding the expected value of a trajectory under a constraint

Find the maximum value of $f = x^2+ 2y^2$ subject to constraints $y -x^2 + 1 = 0$

Integer programming: Constraint on binary variable based on parameter value

Constrained Optimization / derivative on curves equal zero / convergence

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