Vali-e-Asr university of Rafsanjan Wavelet and Linear Algebra 2383-1936 7 2 2020 11 01 New Bounds for Entropy of Information Sources کران های جدید برای آنتروپی منبع های اطلاعات 1 9 46669 10.22072/wala.2020.111881.1240 EN Yamin Sayyari Department of Mathematics, Sirjan University Of Technology, Sirjan, Islamic Republic of Iran. 0000-0001-8019-3655 Journal Article 2019 07 24 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. Entropy Shannon's entropy Information source convex function random variable https://wala.vru.ac.ir/article_46669_dffe93f985ab86301115dfe29c3e0a41.pdf