186 research outputs found
Improving Hölder's inequality
International audienceWe show that the remainder in Hölder's inequality (Rogers, 1888; Hölder, 1889) may be computed exactly. It satisfies functional equations, and possesses monotonicity and scaling properties. We obtain as a consequence improvements of recent sharpenings (Aldaz, 2008) of the classical inequality
Studentization in Edgworth Expansions for Estimates of Semiparametric Index Models - (Now published in C Hsiao, K Morimune and J Powell (eds): Nonlinear Statistical Modeling (Festschrift for Takeshi Amemiya), (Cambridge University Press, 2001), pp.197-240.)
We establish valid theoretical and empirical Edgeworth expansions for density-weighted averaged derivative estimates of semiparametric index models.Edgeworth expansions, semiparametric estimates, averaged derivatives
A constraint variational problem arising in stellar dynamics
We use the compactness result of A. Burchard and Y. Guo (cf. \cite{BuGu}) to
analyze the reduced 'energy' functional arising naturally in the stability
analysis of steady states of the Vlasov-Poisson system (cf. \cite{SaSo} and
\cite{Ha}). We consider the associated variational problem and present a new
proof that puts it in the general framework for tackling the variational
problems of this type, given by Y. Guo and G. Rein (cf. \cite{Re1} and
\cite{Re2})
On an inverse to the Hölder inequality
An extension is given for the inverse to Hölder's inequality obtained recently
by Zhuang
- …