Abstract
In most cases treated in information theory, stationary memoryless/ergodic property on the system are assumed. In this paper, source coding theorems on the general information sources, which means neither stationary memoryless nor stationary ergodic property are conditioned, are considered. We clarify the following two issues: 1) What quantity can be essential in source coding problems under the general sources? 2) What are the differences between theorems under conventional stationary memoryless/ergodic condition and ones under the general sources?