Continuity and Stability of Partial Entropic Sums TeX Export

@article{citeulike:5932330, abstract = {Extensions of Fannes' inequality with partial sums of Tsallis entropy are obtained. The definition of \$k\$-th partial sum under the prescribed order of terms is given. Basic properties of introduced entropic measures and some applications are discussed. The derived estimates provide a complete characterization of the continuity and stability properties in the refined scale. The results are also reformulated in terms of Uhlmann's partial fidelities.}, archivePrefix = {arXiv}, author = {Rastegin, Alexey E.}, citeulike-article-id = {5932330}, citeulike-linkout-0 = {http://arxiv.org/abs/0910.1903}, citeulike-linkout-1 = {http://arxiv.org/pdf/0910.1903}, comment = {It seems conceivable that there might be some results that could be translated to be of relevance to some of the entropy convergence stuff that I've worked on. }, day = {10}, eprint = {0910.1903}, keywords = {entropy-convergence}, month = {Oct}, posted-at = {2009-11-09 01:00:22}, priority = {2}, title = {Continuity and Stability of Partial Entropic Sums}, url = {http://arxiv.org/abs/0910.1903}, year = {2009} }

TY - JOUR ID - citeulike:5932330 L3 - citeulike-article-id:5932330 N2 - Extensions of Fannes' inequality with partial sums of Tsallis entropy are obtained. The definition of $k$-th partial sum under the prescribed order of terms is given. Basic properties of introduced entropic measures and some applications are discussed. The derived estimates provide a complete characterization of the continuity and stability properties in the refined scale. The results are also reformulated in terms of Uhlmann's partial fidelities. TI - Continuity and Stability of Partial Entropic Sums KW - entropy-convergence N1 - It seems conceivable that there might be some results that could be translated to be of relevance to some of the entropy convergence stuff that I've worked on. AU - Rastegin, Alexey PY - 2009/Oct/10/ UR - http://arxiv.org/abs/0910.1903 ER -