Timeline for Minimax Approximation to Sine Function on interval [-K, K]
Current License: CC BY-SA 4.0
6 events
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Sep 19, 2018 at 17:12 | comment | added | hao chen | Thank you for the answer! It is kind of surprising to me that simple Taylor approximation is not too far away from this bound. The error is $K^n/n!$, which is roughly $(eK/n)^n / \sqrt{2\pi n}$. Well, still there is a $2^n$ factor difference. | |
Sep 19, 2018 at 17:07 | vote | accept | hao chen | ||
Sep 16, 2018 at 19:36 | comment | added | user111 | @Nate Eldredge I don't have the paper by Batyrev so I can't say, but several subsequent papers cite his paper for the mentioned result. I have added a reference to one of these papers in the answer. In particular, it has a proof of Batyrev's result. | |
Sep 16, 2018 at 19:30 | history | edited | user111 | CC BY-SA 4.0 |
added 239 characters in body
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Sep 16, 2018 at 15:42 | comment | added | Nate Eldredge | Are you sure that this paper contains a complete proof? Sometimes short papers in Doklady were just research announcements. Also, since older Russian journals can be hard for many people to obtain, do you know if the proof is written down somewhere else (preferably in English)? | |
Sep 16, 2018 at 15:11 | history | answered | user111 | CC BY-SA 4.0 |