Certain Coding Theorems Based on Generalized Inaccuracy Measure of Order α and Type β and 1:1 Coding

In this paper, A new mean codeword length Ltβ(U) is defined. We have established some noiseless coding theorems based on generalized inaccuracy measure of order α and type β. Further, we have defined mean codeword length Ltβ,1:1(U) for the best one-to-one code. Also we have shown that the mean codeword lengths Ltβ,1:1(U) for the best one-to-one code (not necessarily uniquely decodable) are shorter than the mean codeword length Lt β(U). Moreover, we have studied tighter bounds of Ltβ(U)