Timeline for Bound on the sum of arguments
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| Nov 8, 2015 at 3:51 | vote | accept | Iosif Pinelis | ||
| Mar 20, 2015 at 17:28 | history | bounty ended | Iosif Pinelis | ||
| Mar 15, 2015 at 17:02 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 15, 2015 at 16:54 | comment | added | Iosif Pinelis | This is correct. Everything looks fine now. | |
| Mar 15, 2015 at 16:31 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 15, 2015 at 16:13 | comment | added | Fedor Petrov | I think, $\det M>0$ as $|A|\leq |z|<1$. | |
| Mar 15, 2015 at 16:12 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 15, 2015 at 15:36 | comment | added | Iosif Pinelis | This is very good; two nice ideas: (i) to consider the special case when $t=u$ and $z\to1$ and then (ii) merge $z$ with $f$. Yet, a bit more is needed. $\det M$ may be 0 (only if $|A|=|B|=1$). Then AM=GM yields $|1-A|=|1-B|$, whence $A=\bar B$ (trivial case) or $A=B$; at that, $|C|\le|A|\,|B|$. This is the case yet to consider. Two more things, minor ones: (i) condition $\Re(1-A)(1-B)(1-C)>0$ is only sufficient, but not necessary, for your ineq. for the arguments in terms of $A,B,C$; (ii) you may want to replace "set about" by "said about". | |
| Mar 15, 2015 at 12:54 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 14, 2015 at 9:57 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 14, 2015 at 9:39 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 14, 2015 at 8:44 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 14, 2015 at 8:36 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 13, 2015 at 22:41 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
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| Mar 13, 2015 at 22:12 | history | answered | Fedor Petrov | CC BY-SA 3.0 |