Iterates of Volterra operators and indeterminate forms
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/29764 |
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| _version_ | 1832552474027753472 |
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| author | Pablo Braz e Silva Andrés R. R. Papa |
| author_facet | Pablo Braz e Silva Andrés R. R. Papa |
| author_sort | Pablo Braz e Silva |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ff5fbf7bff4940acacb648f9fc024044 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ff5fbf7bff4940acacb648f9fc0240442025-02-03T05:58:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2976429764Iterates of Volterra operators and indeterminate formsPablo Braz e Silva0Andrés R. R. Papa1Departamento de Matemática, Universidade Federal de Pernambuco, Av. Prof. Luiz Freire, s/n, Cidade Universitária, Recife 50740-540, PE, BrazilObservatório Nacional, MCT, Rua General José Cristino 77, São Cristovão, Rio de Janeiro 20921-400, RJ, BrazilWe 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.http://dx.doi.org/10.1155/IJMMS/2006/29764 |
| spellingShingle | Pablo Braz e Silva Andrés R. R. Papa Iterates of Volterra operators and indeterminate forms International Journal of Mathematics and Mathematical Sciences |
| title | Iterates of Volterra operators and indeterminate forms |
| title_full | Iterates of Volterra operators and indeterminate forms |
| title_fullStr | Iterates of Volterra operators and indeterminate forms |
| title_full_unstemmed | Iterates of Volterra operators and indeterminate forms |
| title_short | Iterates of Volterra operators and indeterminate forms |
| title_sort | iterates of volterra operators and indeterminate forms |
| url | http://dx.doi.org/10.1155/IJMMS/2006/29764 |
| work_keys_str_mv | AT pablobrazesilva iteratesofvolterraoperatorsandindeterminateforms AT andresrrpapa iteratesofvolterraoperatorsandindeterminateforms |