Dragomir, S. S. Upper and lower bounds for Csiszár \(f\)-divergence in terms of Hellinger discrimination and applications. (English) Zbl 1028.94019 Nonlinear Anal. Forum 7, No. 1, 1-13 (2002). Summary: We point out an upper and a lower bound for the Csiszár \(f\)-divergence of two discrete random variables in terms of the Hellinger discrimination. Some particular cases for the Kullback-Leibler distance, triangular discrimination, \(\chi^2\)-distance and the Rényi \(\alpha\)-entropy, etc. are considered. Cited in 1 ReviewCited in 8 Documents MSC: 94A17 Measures of information, entropy 26D15 Inequalities for sums, series and integrals Keywords:upper bound; Csiszár \(f\)-divergence; divergence measures in information theory; Jensen’s inequality; lower bound; discrete random variables; Hellinger discrimination Citations:Zbl 1028.94007; Zbl 1028.94018 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Nonlinear Anal. Forum 7, No. 1, 1--13 (2002; Zbl 1028.94019)