On a generalization of the Shannon functional inequality

DOI10.1016/0022-247X(89)90068-1zbMath0674.94005MaRDI QIDQ1121850

Palaniappan Kannappan, Prasanna K. Sahoo

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Shannon entropy

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Systems of functional equations and inequalities (39B72)

Related Items (1)

General solution of two functional equations concerning measures of information

Cites Work

• A mixed theory of information. V: How to keep the (inset) expert honest
• On measures of information and their characterizations
• On some new generalizations of Shannon's inequality
• On the inequality \(\sum g(p_i) f(p_i) \geq \sum g(p_i) f(q_i)\)
• Remarks on the measurement of subjective probability and information
• On the inequality \(\sum p_if(p_i) \geq \sum p_if(q_i)\).
• On continuous solutions of a functional inequality
• A mixed theory of information. III. Inset entropies of degree β
• On the characterization of Shannon's entropy by Shannon's inequality
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