Yamin Sayyari - Department of Mathematics, Sirjan University Of Technology, Sirjan, Islamic Republic of Iran.

Shannon's entropy plays an important role in information theory, dynamical systems and thermodynamics. In this paper we applying Jensen's inequality in information theory and we obtain some results for the Shannon's entropy of random variables and Shannon's entropy of stochastic process. Also we obtain upper bound and lower bound for Shannon's entropy of information sources.

آنتروپی, آنتروپی شانون, منبع اطلاعات, تابع محدب, متغیر تصادفی