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for questions involving inequalities, upper and lower bounds.
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Is it possible to show the following inequality?
Let $\phi\in C^s,0<\alpha\leq s<1$, where $C^s(0,T]$ is Holder continuous functions. Is it possible to show the following inequality
$$|\frac{\phi(x)}{x^\alpha}-\frac{\phi(y)}{y^\alpha}|\leq \frac{|\p …