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 Jul 2 awarded Curious Jun 26 awarded Yearling Jun 11 revised An almost orthogonality principle for $L^p$ added 1 characters in body Jun 5 asked An almost orthogonality principle for $L^p$ May 12 accepted Jensen's inequality and $L^p$ norms May 7 comment Jensen's inequality and $L^p$ norms @Sebastian: Right, so the question is whether the estimate holds for more general convex functions. May 7 comment Jensen's inequality and $L^p$ norms @Hanche-Olsen: Edited, thanks. May 7 revised Jensen's inequality and $L^p$ norms added 70 characters in body May 7 asked Jensen's inequality and $L^p$ norms Feb 27 awarded Tumbleweed Feb 21 revised Inner product between certain vectors on a simplex. edited tags Feb 20 asked Inner product between certain vectors on a simplex. Jul 5 accepted How smooth is the distribution function of a convex polynomial? Jul 5 comment How smooth is the distribution function of a convex polynomial? @Alex: As edited, I'm interested in $C^\infty$ smoothness. Jul 5 comment How smooth is the distribution function of a convex polynomial? @Leonid: Agreed. Jul 5 revised How smooth is the distribution function of a convex polynomial? added 34 characters in body Jul 5 awarded Commentator Jul 5 revised How smooth is the distribution function of a convex polynomial? added 2 characters in body Jul 5 comment How smooth is the distribution function of a convex polynomial? @Leonid: Corrected, thanks. Jul 5 comment How smooth is the distribution function of a convex polynomial? @Alex: What polynomial are you taking? $P(x,y)=x^2+y^2$? Then $\lambda_P(\alpha)=\pi (1-\alpha)$ if $\alpha\leq 1$, right? In any case, the point is that I'm only interested in smoothness of $\lambda$ in the interior of its support (hence the requirement $\alpha>0$ in the original question).