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Let a function f : R => R be convex. Is f necessarily continuous£¿ Why£¿ Give me some details or references. Thanks! |
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Yes. For u and (f(x0)-f(x))/(x0-x)<=(f(w)-f(x0))/(w-x0). Fix u and w and let x,y tend to x0. |
2Â¥2011-11-20 20:56:56
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3Â¥2011-11-20 20:58:16
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Year. Indeed, the left and right derivative exists for each interior point... |
4Â¥2011-11-20 21:21:09
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5Â¥2011-11-22 20:45:53









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