Some Inequalities for Multiple Integrals on the n-Dimensional Ellipsoid, Spherical Shell, and Ball

The authors establish some new inequalities of Pólya type for multiple integrals on the n-dimensional ellipsoid, spherical shell, and ball, in terms of bounds of the higher order derivatives of the integrands. These results generalize the main result in the pape...

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Bibliographic Details
Main Authors: Yan Sun, Hai-Tao Yang, Feng Qi
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/904721