Results 31 to 40 of about 387 (175)
Weighted entropy: basic inequalities
Modern Stochastics: Theory and Applications, 2017 This paper represents an extended version of an earlier note [10]. The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function.
Mark Kelbert, Izabella Stuhl, Yuri Suhov
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Evolution of the Minimax Inequality of Ky Fan [PDF]
Journal of Operators, 2013 There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
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Nash’s Existence Theorem for Non-Compact Strategy Sets
MathematicsIn this paper, we apply the classical FKKM lemma to obtain the Ky Fan minimax inequality defined on nonempty non-compact convex subsets in reflexive Banach spaces, and then we apply it to game theory and obtain Nash’s existence theorem for non-compact ...
Xinyu Zhang +3 more
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Generalization of a Matrix Inequality of Ky Fan
Journal of Mathematical Analysis and Applications, 1995 The authors give some new and interesting inequalities for matrices. One of the main results is: Let \(f : I \subset \mathbb{R} \to \mathbb{R}\) be a convex function and \(A_j\), \(j = 1, \ldots, k\), are Hermitian matrices with eigenvalues in \(I\), \(x_j \in \mathbb{C}^n\), \(j = 1, \ldots, k\), with \(\sum^k_{j = 1} (x_j, x_j) = 1\). Then \[ f \left(
Mond, B., Pečarić, J. E.
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Journal of Inequalities and Applications, 2010 We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex ...
Mohammad S. R. Chowdhury, Yeol Je Cho
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A new approach to Ky Fan‐type inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The study of the behavior of means under equal increments of their variables provides a new approach to Ky Fan‐type inequalities. Via this approach we are able to prove some new results on Ky Fan‐type inequalities. We also prove some inequalities involving the symmetric means.
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The Evolution and Integration of ESG Reporting: A Framework for Sustainable Business Accountability
Business Strategy and the Environment, EarlyView.ABSTRACT This study examines how multinational corporations incorporate Environmental, Social, and Governance (ESG) reporting frameworks to foster trust, enhance legitimacy, and move beyond mere symbolic disclosure. A qualitative comparison of Microsoft and Unilever from 2020 to 2023 assesses how both firms integrate leading standards, including GRI ...
Gabriela Marques Alves Aguiar
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Minimax inequalities of Ky Fan
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ji Hui, Ma, Ruyun
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A new refinement of the Ky Fan inequality [PDF]
Mathematical Inequalities & Applications, 1999 Let \(A_n( \underline x), G_n( \underline x), I_n( \underline x)\) denote, respectively, the arithmetic, geometric and identric means of the positive \(n\)-tuple \(\underline x\). The famous Ky Fan inequality is: if \( 0< a_i\leq 1/2, 1\leq 2\leq n\) and if \(b_i = 1- a_i, 1\leq i\leq n\) then \(G_n( \underline a)\big/ G_n( \underline b)\leq A_n ...
Sándor, József, Trif, Tiberiu
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Systemic bio‐inequity links poverty to biodiversity and induces a conservation paradox
People and Nature, EarlyView.Abstract Biodiversity is declining globally while inequity is growing, and poverty rates are not improving. Global sustainable development and conservation initiatives aim to address biodiversity loss and poverty simultaneously. Through text analysis of global biodiversity policies, we identified a consistent narrative that countries with high ...
Conor Waldock +4 more
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