Three-Parameter Logarithm and Entropy
Joint Authors
Corcino, Roberto B.
Corcino, Cristina B.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Corcino, Cristina B.& Corcino, Roberto B.. 2020. Three-Parameter Logarithm and Entropy. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1186078
Modern Language Association (MLA)
Corcino, Cristina B.& Corcino, Roberto B.. Three-Parameter Logarithm and Entropy. Journal of Function Spaces No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1186078
American Medical Association (AMA)
Corcino, Cristina B.& Corcino, Roberto B.. Three-Parameter Logarithm and Entropy. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1186078
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186078