Abstract
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.
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© 2009 Springer-Verlag US
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Kannappan, P. (2009). Functional Equations from Information Theory. In: Functional Equations and Inequalities with Applications. Springer Monographs in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-89492-8_10
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DOI: https://doi.org/10.1007/978-0-387-89492-8_10
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-89491-1
Online ISBN: 978-0-387-89492-8
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