منابع مشابه
Refinements of Choi–davis–jensen’s Inequality
Let Φ1, . . . ,Φn be strictly positive linear maps from a unital C∗algebra A into a C∗-algebra B and let Φ = ∑n i=1 Φi be unital. If f is an operator convex function on an interval J , then for every self-adjoint operator A ∈ A with spectrum contained in J , the following refinement of the Choi– Davis–Jensen inequality holds:
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In this paper, some extensions of recent results on Choi-Davis-Jensen’s inequality due to Khosravi et al. [M. Khosravi, J.S. Aujla, S.S. Dragomir, and M.S. Moslehian. Refinements of ChoiDavis-Jensen’s inequality. Bulletin of Mathematical Analysis and Applications, 3:127–133, 2011.] and Fujii et al. [J.-I. Fujii, J. Pečarić, and Y. Seo. The Jensen inequality in an external formula. Journal of Ma...
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In this paper, some extensions of recent results on Choi-Davis-Jensen’s inequality due to Khosravi et al. [M. Khosravi, J.S. Aujla, S.S. Dragomir, and M.S. Moslehian. Refinements of ChoiDavis-Jensen’s inequality. Bulletin of Mathematical Analysis and Applications, 3:127–133, 2011.] and Fujii et al. [J.-I. Fujii, J. Pečarić, and Y. Seo. The Jensen inequality in an external formula. Journal of Ma...
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Multi-dimensional continuous local martingales, enhanced with their stochastic area process, give rise to geometric rough paths with a.s. finite homogenous p-variation, p > 2. Here we go one step further and establish quantitative bounds of the p-variation norm in the form of a BDG inequality. Our proofs are based on old ideas by Lépingle. We also discuss geodesic and piecewise linear approxima...
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In Davis v. Davis (1992), the Supreme Court of Tennessee decided a dispute over cryopreserved preembryos in favor of Junior Lewis Davis, who sought to have the preembryos destroyed over the objections of his former wife, Mary Sue Davis. The decision in Davis, although not binding in other states, suggested a framework for resolving similar disputes in the US. That framework established that cou...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2015
ISSN: 1846-579X
DOI: 10.7153/jmi-09-52