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MathCraft: PDF to LaTeX file: Sample-01

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-1) / 2}\right)^{2} \geq 0 \end{aligned} $$ This implies $f$ is monotonically increasing. So for $x \neq y... \text { where } \quad t=\dfrac{r+s}{2} . $$ This implies $\phi$ is log-convex in Jensen sense. Also $\lim _{r \rightarrow 0} \phi(r)=\phi(0)$, which implies $\phi$ is continuous for all $r \in \mathbb{R}$.