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Results tagged with real-analysis
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user 105812
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Convexity inequality
Let $E$ be a subset of $\mathbb{R}^n$ such that $\mathbb{R}^n \setminus E$ is convex.
Let $x,y$ be in $\mathbb{R}^n$. Is it true that for $t\in [0,1]$, we have: $$d(tx+(1-t)y,E) \geq td(x,E) - (1-t)d …
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