Proposition: Convex Functions on Open Intervals are Continuous

Let $D\subset\mathbb R$ be an open (finite or infinite) interval. Every convex function $f:D\to\mathbb R$ is continuous.

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983