Some Inequalities in Information Theory Using Tsallis Entropy

Some Inequalities in Information Theory Using Tsallis Entropy

We present a relation between Tsallis’s entropy and generalized Kerridge inaccuracy which is called generalized Shannon inequality and is well-known generalization in information theory and then give its application in coding theory. The objective of the paper is to establish a result on noiseless c...

Full description

Bibliographic Details
Main Authors: Litegebe Wondie, Satish Kumar
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2018/2861612
id doaj-d966a29f83ae49968ffff7bf0a147c50
record_format Article
spelling doaj-d966a29f83ae49968ffff7bf0a147c502020-11-25T01:02:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/28616122861612Some Inequalities in Information Theory Using Tsallis EntropyLitegebe Wondie0Satish Kumar1Department of Mathematics, College of Natural and Computational Science, University of Gondar, Gondar, EthiopiaDepartment of Mathematics, College of Natural and Computational Science, University of Gondar, Gondar, EthiopiaWe present a relation between Tsallis’s entropy and generalized Kerridge inaccuracy which is called generalized Shannon inequality and is well-known generalization in information theory and then give its application in coding theory. The objective of the paper is to establish a result on noiseless coding theorem for the proposed mean code length in terms of generalized information measure of order ξ.http://dx.doi.org/10.1155/2018/2861612
collection DOAJ
language English
format Article
sources DOAJ
author Litegebe Wondie
Satish Kumar
spellingShingle Litegebe Wondie
Satish Kumar
Some Inequalities in Information Theory Using Tsallis Entropy
International Journal of Mathematics and Mathematical Sciences
author_facet Litegebe Wondie
Satish Kumar
author_sort Litegebe Wondie
title Some Inequalities in Information Theory Using Tsallis Entropy
title_short Some Inequalities in Information Theory Using Tsallis Entropy
title_full Some Inequalities in Information Theory Using Tsallis Entropy
title_fullStr Some Inequalities in Information Theory Using Tsallis Entropy
title_full_unstemmed Some Inequalities in Information Theory Using Tsallis Entropy
title_sort some inequalities in information theory using tsallis entropy
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2018-01-01
description We present a relation between Tsallis’s entropy and generalized Kerridge inaccuracy which is called generalized Shannon inequality and is well-known generalization in information theory and then give its application in coding theory. The objective of the paper is to establish a result on noiseless coding theorem for the proposed mean code length in terms of generalized information measure of order ξ.
url http://dx.doi.org/10.1155/2018/2861612
work_keys_str_mv AT litegebewondie someinequalitiesininformationtheoryusingtsallisentropy
AT satishkumar someinequalitiesininformationtheoryusingtsallisentropy
_version_ 1725204206055325696

Similar Items