2015/09/15 by Dragomir, Silvestru Sever
Mathematics · Physics and Astronomy · #47A63 #47A99 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Numerical methods in inverse problems #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1509.04362
openalex publication_date 2015/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Some inequalities for quantum f-divergence of trace class operators in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds for quantum f-divergence in terms of variational and chi-distance are provided. Applications for some classes of divergence measures such as Umegaki and Tsallis relative entropies are also given.