Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 656329, 14 pages
doi:10.1155/2008/656329
Abstract
We define two functions which determine the properties and the
representation of the mean value of a function on a ball and on its
associated sphere. Using these two functions, we obtain Pizzetti's formula in Rn as
well as a similar formula for the mean value of a function on the ball
associated to the sphere. We also give the expressions of the remainders in these two formulas,
using the surface integral on a sphere.