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Entropy: The Markov Ordering Approach
Entropy, 2010 The focus of this article is on entropy and Markov processes. We study the properties of functionals which are invariant with respect to monotonic transformations and analyze two invariant “additivity” properties: (i) existence of a monotonic ...
Alexander N. Gorban +2 more
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Inequality, welfare and monotonicity [PDF]
, 1997 We stablish a general relationship between the standard form of the individualistic social-welfare function and the "reduced-form" version that is expressed in terms of inequality and mean income.
Amiel, Yoram, Cowell, Frank
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Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Open Mathematics, 2022 Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p,q)\left(p,q)-mixed volumes and that of Feng and He [2] on (p,q)\left(p,q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and ...
Zhang Juan, Wang Weidong, Zhao Peibiao
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Flow Monotonicity and Strichartz Inequalities [PDF]
International Mathematics Research Notices, 2014 We identify complete monotonicity properties underlying a variety of well-known sharp Strichartz inequalities in euclidean space.
J. Bennett, N. Bez, M. Iliopoulou
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Integral Inequalities for Monotone Functions
Journal of Mathematical Analysis and Applications, 1997 Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
Pečarić, Josip +2 more
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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
Open Mathematics, 2020 In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
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A new Hermite–Hadamard type inequality for coordinate convex function
Journal of Inequalities and Applications, 2020 In the article, we establish a new Hermite–Hadamard type inequality for the coordinate convex function by constructing two monotonic sequences. The given result is the generalization and improvement of some previously obtained results.
Haisong Cao
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Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions
Journal of Mathematics, 2021 Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h-convex functions. In this paper, we aim to establish the functional form of
Aqeel Ahmad Mughal +3 more
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Tripartite entanglement and quantum correlation
Journal of High Energy Physics, 2021 We provide an analytical tripartite-study from the generalized R-matrix. It provides the upper bound of the maximum violation of Mermin’s inequality. For a generic 2-qubit pure state, the concurrence or R-matrix characterizes the maximum violation of ...
Xingyu Guo, Chen-Te Ma
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A monotonic refinement of Levinson’s inequality [PDF]
Journal of Inequalities and Applications, 2015 In this paper we give a monotonic refinement of the probabilistic version of Levinson’s inequality based on the monotonic refinement of Jensen’s inequality obtained by Cho et al. (Panam. Math. J. 12:43-50, 2002).
Praljak, Marjan +2 more
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