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Testing Functional Inequalities
Conditional moment inequalities kernel estimation one-sided test local power Lp norm Poissonization
2012/9/17
This paper develops tests for inequality constraints of nonparametric re-gression functions. The test statistics involve a one-sided versionofLp-type functionals of kernel estimators (1≤p <∞). Drawing...
Some functional inequalities on polynomial volume growth Lie groups
Sobolev inequalities polynomial volume growth Lie groups
2010/12/7
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without
the use of the Littlew...
Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
Functional inequalities thick tails asymptotics
2010/11/26
We investigate the long time behavior of the critical mass Patlak-Keller-Segel equation. This equation has a one parameter family of steady-state solutions ̺, λ > 0, with thick tails whose secon...
Functional inequalities for modified Bessel functions
Functional inequalities Modified Bessel functions Convexity with respect to H¨older means
2010/12/13
In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of th...
A Simultaneous System of Functional Inequalities and Mappings which are Weakly of a Constant Sign
Linear functional inequalities Kronecker's theorem Mappings of weakly constant sign
2008/7/3
A Simultaneous System of Functional Inequalities and Mappings which are Weakly of a Constant Sign.