user17240

124 reputation

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visits	member for	1 year, 7 months
	seen	May 19 at 1:06
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	124 reputation	bio	website		visits	member for	1 year, 7 months
6 badges		location			seen	May 19 at 1:06

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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).
Jul 5	revised	How smooth is the distribution function of a convex polynomial? added 25 characters in body
Jul 5	comment	How smooth is the distribution function of a convex polynomial? @Alex: Corrected, thanks. I guess one could equivalently ask about the function $$\lambda_P(\alpha)=\|\{(x,y)\in K: \|P(x,y)\|>\alpha\}\|,$$ where $K$ is some compact and convex subset of the plane...
Jul 5	asked	How smooth is the distribution function of a convex polynomial?
Jul 4	accepted	Level sets of convex functions