Timeline for functions on intervals with endpoints
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Feb 22, 2011 at 9:25 | comment | added | Zen Harper | I think it's purely a matter of choice, with no universal agreement; in any specific example, just make sure you say "one-sided derivative" or "extendable function" etc. to make clear what you mean. I've seen a variety of different conventions in use. | |
| Feb 19, 2011 at 9:25 | comment | added | Willie Wong | As a remark: this is why in most books/paper you only see continuity and differentiability specified on open domains with possibly the additional assumption of "... extends continuously to the boundary". Note that in more than 1 dimensions, continuous extension to the boundary is more than just issue of blow-up on the boundary point, but also continuity on the boundary which is now more than 0 dimensional. | |
| Feb 18, 2011 at 19:56 | history | asked | James Propp | CC BY-SA 2.5 |