Functional Equations from Information Theory

  • Palaniappan Kannappan
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter, information theory using desirable properties and representation, Shannon’s entropy, directed divergence, generalized directed divergence, entropy of order α and degree β, and weighted entropy are treated. The Fundamental equations of entropy and their generalizations and sum form equations and their generalizations are treated. Distance measures and inset measures are performed, and applications are treated.


Functional Equation Shannon Entropy Basic Notion Information Measure Directed Divergence 
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Copyright information

© Springer-Verlag US 2009

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of WaterlooWaterloo ONCanada

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