On a multiplicative type sum form functional equation and its role in information theory.

DOI10.1007/s10492-006-0018-6zbMath1164.39330OpenAlexW2085739483MaRDI QIDQ954594

Dhiraj Kumar Singh, Prem Nath

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33264

zbMATH Keywords

real functionsgeneral solutionsmultiplicative functionadditive functionsum form functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Information theory (general) (94A15)

Related Items (3)

On a functional equation related to some entropies in information theory ⋮ On a sum form functional equation containing five unknown mappings ⋮ ON A SUM FORM FUNCTIONAL EQUATION RELATED TO ENTROPIES OF TYPE (α, β)

Cites Work

• A Mathematical Theory of Communication
• A characterization of entropies of degree alpha
• On the measurable solution of a functional equation arising in information theory
• On some functional equations from additive and non-additive measures-I
• On the bounded solutions of a functional equation
• On some functional equations of the information theory
• Charakterisierung der Entropien positiver Ordnung und der shannonschen Entropie
• On the measurable solutions of a functional equation
• On a Functional Equation
• On continuous solutions of a functional equation
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