Timeline for Elementary inequality generalizing convexity of a function on a segment
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 13, 2020 at 20:32 | comment | added | Deane Yang | @FedorPetrov, yes. That's correct. | |
| Jul 13, 2020 at 19:31 | comment | added | Fedor Petrov | my question was: where is it used in your answer? Probably the answer is that you include the proof but not the formulation. | |
| Jul 13, 2020 at 18:25 | history | edited | Deane Yang | CC BY-SA 4.0 |
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| Jul 13, 2020 at 17:56 | comment | added | Deane Yang | @FedorPetrov, variants of this argument are commonly used to compare the behavior of geodesics on a Riemannian manifold to those on a manifold with constant curvature. But the argument itself was originally developed in what's known as Sturm-Liouville theory. It appears in many ODE textbooks. | |
| Jul 13, 2020 at 17:52 | comment | added | Fedor Petrov | And where is it used? The argument looks self-contained. | |
| Jul 13, 2020 at 17:51 | comment | added | Deane Yang | @FedorPetrov, it compares solutions to self-adjoint 2nd order ODEs. I never actually remember the precise statement of the theorem, so I adapt the relatively elementary argument to each particular situation. | |
| Jul 13, 2020 at 17:46 | comment | added | Fedor Petrov | What is "Sturm comparison theorem"? | |
| Jul 13, 2020 at 17:42 | history | answered | Deane Yang | CC BY-SA 4.0 |