Three-Parameter Logarithm and Entropy
A three-parameter logarithmic function is derived using the notion of q-analogue and ansatz technique. The derived three-parameter logarithm is shown to be a generalization of the two-parameter logarithmic function of Schwämmle and Tsallis as the latter is the limiting function of the former as the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9791789 |
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| _version_ | 1832546846228086784 |
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| author | Cristina B. Corcino Roberto B. Corcino |
| author_facet | Cristina B. Corcino Roberto B. Corcino |
| author_sort | Cristina B. Corcino |
| collection | DOAJ |
| description | A three-parameter logarithmic function is derived using the notion of q-analogue and ansatz technique. The derived three-parameter logarithm is shown to be a generalization of the two-parameter logarithmic function of Schwämmle and Tsallis as the latter is the limiting function of the former as the added parameter goes to 1. The inverse of the three-parameter logarithm and other important properties are also proved. A three-parameter entropic function is then defined and is shown to be analytic and hence Lesche-stable, concave, and convex in some ranges of the parameters. |
| format | Article |
| id | doaj-art-f139c11ddd574285892acba3cbbc9ee3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f139c11ddd574285892acba3cbbc9ee32025-02-03T06:46:58ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/97917899791789Three-Parameter Logarithm and EntropyCristina B. Corcino0Roberto B. Corcino1Research Institute for Computational Mathematics and Physics, Cebu Normal University, Cebu City, PhilippinesResearch Institute for Computational Mathematics and Physics, Cebu Normal University, Cebu City, PhilippinesA three-parameter logarithmic function is derived using the notion of q-analogue and ansatz technique. The derived three-parameter logarithm is shown to be a generalization of the two-parameter logarithmic function of Schwämmle and Tsallis as the latter is the limiting function of the former as the added parameter goes to 1. The inverse of the three-parameter logarithm and other important properties are also proved. A three-parameter entropic function is then defined and is shown to be analytic and hence Lesche-stable, concave, and convex in some ranges of the parameters.http://dx.doi.org/10.1155/2020/9791789 |
| spellingShingle | Cristina B. Corcino Roberto B. Corcino Three-Parameter Logarithm and Entropy Journal of Function Spaces |
| title | Three-Parameter Logarithm and Entropy |
| title_full | Three-Parameter Logarithm and Entropy |
| title_fullStr | Three-Parameter Logarithm and Entropy |
| title_full_unstemmed | Three-Parameter Logarithm and Entropy |
| title_short | Three-Parameter Logarithm and Entropy |
| title_sort | three parameter logarithm and entropy |
| url | http://dx.doi.org/10.1155/2020/9791789 |
| work_keys_str_mv | AT cristinabcorcino threeparameterlogarithmandentropy AT robertobcorcino threeparameterlogarithmandentropy |