Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2011.81.89KumarSatish ChoudharyArun 2201142In this communication, first we generalized Shannon inequality and then given its application in coding theory. In the end, lower and upper bounds are derived for the new mean codeword length in terms of generalized entropy of order α and type β.]]>Aczel, J. and Z. Daroczy,196310171190Al-Daoud, E.,2007735673571Al-Nasser, A.D., O.M. Eidous and L.M. Mohaidat,20103111118Campbell, L.L.,19658423429Daroczy, Z.,1970163651Fatemi, A.,20112011Feinstein, A.,1958Gurdial, A. and F. Pessoa,197723035Haouas, A., B. Djebbar and R. Mekki,2008837433747Havrda, J.F. and F. Charvat,196733035Hooda, D.S. and U.S. Bhaker,1997235362Jelinek, F.,198014490501Khan, A.B., B.A. Bhat and S. Pirzada,2005615Kapur, J.N.,196747894Kerridge, D.F.,196123184194Kieffer, J.C.,197941136146Longo, G.,197630739748Nath, P. and D.P. Mittal,197323439445Parkash, O. and P.K. Sharma,20042710731080Renyi, A.,19611961pp: 547561Rupsys, P. and E. Petrauskas,200942535Shannon, C.E.,194827378423Sharma, B.D. and D.P. Mittal,1975102840Shisha, O.,1967Singh, R.P., R. Kumar and R.K. Tuteja,2003152145154Stepak, A.M.,20055952964Tsallis, C.,198852479487Van der Lubbe, J.C.A.,19781978pp: 253266