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Results tagged with ca.classical-analysis-and-odes
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user 27698
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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Maximization of a certain ratio for a concave positive function
Assume $g : (0, 1) \to (0, +\infty)$ is a concave twice continuously differentiable function.
We want to make the ratio
$$
f(x) := -\frac{g''(x)}{g(x)}
$$
grow as $x \to 0$ as fast as possible. Some e …
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