%0 Journal Article %T A Coding Theorem for the Information Measure of Order a and of Type %A Satish Kumar %A Arun Choudhary %J Asian Journal of Mathematics & Statistics %D 2011 %I Asian Network for Scientific Information %X In 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 a and type . %K optimal code length %K Shannon inequality %K Codeword length %K Holder`s inequality %K Kraft inequality %U http://docsdrive.com/pdfs/ansinet/ajms/2011/81-89.pdf