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for questions involving inequalities, upper and lower bounds.
1
vote
2
answers
149
views
investigating positivity/negativity of a function [closed]
I'm investigating if and how the positivity or negativity of a multivariable function can be proved. Consider $y_{1},y_{2},y_{3}\in\mathbb{R}$ and the following function
$$f\left(y_{1},y_{2},y_{3}\rig …
0
votes
1
answer
244
views
An inequality for a continuous non-smooth function
Hello,
I have a question about how to prove a lemma such as this one,
For any $0<\alpha<1$ and $M_{0}>0$, there exists a $M_{1}>0$ such that $\left|z\right|^{\alpha}\leq M_{0}+M_{1}\left|z\right|$ h …