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Results tagged with convex-analysis
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user 57572
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Multivariate inequality of floor function
Define $$f(x,a) := (2x-a)\lfloor\frac{x}{a}\rfloor-a\lfloor\frac{x}{a}\rfloor^2.$$
It seems that $$f(x,a)+f(x,b)\geq 2f(x,c),\forall a,b \in [1,x],a+b=2c.$$
I have written a program that has checked t …
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