TY - JOUR ID - 46669 TI - New Bounds for Entropy of Information Sources JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Sayyari, Yamin AD - Department of Mathematics, Sirjan University Of Technology, Sirjan, Islamic Republic of Iran. Y1 - 2020 PY - 2020 VL - 7 IS - 2 SP - 1 EP - 9 KW - Entropy KW - Shannon's entropy KW - Information source KW - convex function KW - random variable DO - 10.22072/wala.2020.111881.1240 N2 - 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. UR - https://wala.vru.ac.ir/article_46669.html L1 - https://wala.vru.ac.ir/article_46669_8c805aad6947b42252be16405f2e6554.pdf ER -