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Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in
Journal of Inequalities and Applications volume 2008, Article number: 656329 (2008)
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 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.
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Toma, A. Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in . J Inequal Appl 2008, 656329 (2008). https://doi.org/10.1155/2008/656329
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