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Reconstruction of a function from its spherical (circular) means with the centers lying on the surface of certain polygons and polyhedra
Reconstruction of a function spherical (circular) means certain polygons and polyhedra
2010/11/26
We present explicit filtration/backprojection-type formulae for the inversion of the spherical (circular) mean transform with the centers lying on the boundary of some polyhedra (or polygons, in 2D). ...
Mixed Arithmetic and Geometric Means and Related Inequalities
Inequalities Arithmetic means Geometric means
2010/1/22
Mixed arithmetic and geometric means, with and without weights, are both considered. Related to mixed arithmetic and geometric means, the following three types of inequalities and their generalization...
An Extension of the Erdös-Debrunner Inequality to General Power Means
Erdö s-Debrunner inequality harmonic mean geometric mean power means
2010/1/22
Given the harmonic mean of the numbers () and a , we determine the best power mean exponents and such that , where and only depend on . Also, for we similarly handle the estimates.