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Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
radial functions Caffarelli-Kohn-Nirenberg inequalities trace inequalities
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2010/11/29
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in Rn × R+ admit a better range of power weights if we restrict ourselves to the sp...
Trace Inequalities with Applications to Orthogonal Regression and Matrix Nearness Problems
Trace inequalities stochastic matrices orthogonal regression matrix nearness problems
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2010/4/16
Matrix trace inequalities are finding increased use in many areas such as analysis, where they can be used to generalise several well known classical inequalities, and computational statistics, where ...
Matrix Trace Inequalities on the Tsallis Entropies
Matrix trace inequality Tsallis entropy Tsallis relative entropy and maximum entropy principle
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2008/6/30
Maximum entropy principles in nonextensive statistical physics are revisited as an application of the Tsallis relative entropy defined for non-negative matrices in the framework of matrix analysis. In...