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Results tagged with inequalities
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user 15045
for questions involving inequalities, upper and lower bounds.
2
votes
1
answer
144
views
Resolving an inequality in the final step of derivation of an *a priori* energy estimate
I'm studying a paper (see citation below) on numerical analysis, and came across this estimate. I am unable to figure out what was done in the final step, and I am not certain if this was just a typo …
- 167
0
votes
How to estimate a recursive inequality with an upper bound
Here is what I eventually did. In light of @losif's answer which I already accepted, can you please tell me what is wrong with my reasoning below?
Given ($\star$), we have
$$(1+pΔt)A_1+B_1 ≤ A_0 + B_0 …
- 167
3
votes
2
answers
576
views
How to estimate a recursive inequality with an upper bound
The below is a simplification of part of a proof I'm working on, in numerical analysis. It is similar to a paper that I studied some months ago, for which I got some advice here on MathOverflow.
I ha …
- 167
1
vote
1
answer
2k
views
Any inequalities / estimates for a lower bound of the $L^2$ inner product of a quantity and ...
This answer on Math SE mentions Kantorovich inequalities, but there is no reference and my searches so far have been futile. …
- 167