Results 31 to 40 of about 1,342 (160)
New Estimates for the Jensen Gap Using s-Convexity With Applications
Frontiers in Physics, 2020 In this article, we use s-convex and Green functions to obtain a bound for the Jensen gap in discrete form and a bound for the Jensen gap in integral form.
Muhammad Adil Khan +3 more
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Improvements of Integral Majorization Inequality with Applications to Divergences
Axioms, 2023 Within the recent wave of research advancements, mathematical inequalities and their practical applications play a notably significant role across various domains.
Abdul Basir +5 more
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Kuwait Journal of Science, 2023 We take into account differences resulting from the discrete and integral cyclic Jensen's inequalities and provide upper and lower bounds using weighted Hermite-Hadamard inequalities with the support of Fink's identity.
Saad I. Butt +3 more
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Deriving the Hirshfeld partitioning using distance metrics [PDF]
, 2014 A
Ali S. M. +5 more
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A new metric for probability distributions [PDF]
, 2003 We introduce a metric for probability distributions, which is bounded, information-theoretically motivated, and has a natural Bayesian interpretation. The square root of the well-known chi(2) distance is an asymptotic approximation to it. Moreover, it is
Endres, Dominik Maria, Schindelin, J E
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Journal of Inequalities and Applications, 2023 In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed +3 more
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Quantum $f$-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces [PDF]
, 2016 We determine the structure of all bijections on the cone of positive semidefinite operators which preserve the quantum $f$-divergence for an arbitrary strictly convex function $f$ defined on the positive halfline.
Virosztek, Dániel
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Centroid-Based Clustering with ab-Divergences [PDF]
, 2019 Centroid-based clustering is a widely used technique within unsupervised learning algorithms in many research fields. The success of any centroid-based clustering relies on the choice of the similarity measure under use.
Cruces Álvarez, Sergio Antonio +3 more
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Journal of Inequalities and Applications, 2020 This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique +3 more
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Advances in Difference Equations, 2020 In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique +3 more
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