International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 1, Article ID 29764, 6 pages
doi:10.1155/IJMMS/2006/29764
Iterates of Volterra operators and indeterminate forms
Pablo Braz e Silva1
and Andrés R.R. Papa2
1Departamento de Matemática, Universidade Federal de Pernambuco, Av. Prof. Luiz Freire, s/n, Cidade Universitária, Recife 50740-540, PE, Brazil
2Observatório Nacional, MCT, Rua General José Cristino 77, São Cristovão, Rio de Janeiro 20921-400, RJ, Brazil
Abstract
We state and prove a theorem showing how iterates of the Volterra operator can be used to evaluate indeterminate forms of type 0/0. This general result allows one to recover the Boltzmann-Gibbs entropy as a limit of a wide class of generalized entropies, as considered in an earlier work.