Timeline for Using Young's inequality to show elementary inequality?
Current License: CC BY-SA 4.0
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| May 4, 2022 at 19:09 | vote | accept | Shaq155 | ||
| May 4, 2022 at 19:09 | comment | added | Shaq155 | Ok, thank you!! | |
| May 4, 2022 at 13:56 | comment | added | Iosif Pinelis | I have looked at the paper. In your question, you omitted positive constant coefficients of $f^{q-2}g^{s}|\nabla f|^{p}$ and $f^{q-1}g^{s-1}|\nabla f|^{p-1}|\nabla g|$. Yet, since the ratio of those coefficients can be any positive real number, including $1$, what is said in my answer still holds. The inequality in question can still be rewritten as (1) in my answer. As was shown, this inequality cannot be generally true under the specified conditions. (I cannot imagine what Young's inequality may have to do with this.) | |
| May 4, 2022 at 9:32 | comment | added | Shaq155 | Thank you for your answer! I added a source for this. Could you imagine what is meant with "Young's inequality" here? | |
| May 4, 2022 at 0:48 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| May 4, 2022 at 0:26 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| May 4, 2022 at 0:12 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| May 3, 2022 at 23:55 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |