ON A SUM FORM FUNCTIONAL EQUATION RELATED TO ENTROPIES OF TYPE (α, β)

DOI10.1142/S1793557113500368zbMath1273.39018OpenAlexW1986074871MaRDI QIDQ2853430

Dhiraj Kumar Singh, Prem Nath

Publication date: 21 October 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500368

zbMATH Keywords

functional equationadditive mappinglogarithmic mappingmultiplicative mappingthe entropies of type \((\alpha, \beta)\)the nonadditive entropy of degree \(\alpha\)the Shannon entropy

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• Unnamed Item
• A Mathematical Theory of Communication
• On a multiplicative type sum form functional equation and its role in information theory.
• The stability of a sum form functional equation arising in information theory
• On some functional equations of the information theory
• On a Functional Equation

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