F-divergence (Fdiv)
On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results
... Mean Divergence and the f−divergence due to Csisz´ ...Mean Divergence is the Hermite-Hadamard divergence introduced by Shioya and ...
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Some quantum f-divergence inequalities for convex functions of self-adjoint operators
... quantum f -divergence, mostly in the case when f is operator convex, have been obtained in the recent papers [15], [16], [20], [21] and the references ...
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A new quantum f-divergence for trace class operators in hilbert spaces
... Abstract: A new quantum f -divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. ...
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Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
... We can prove the following result that provides simpler upper bounds for the quantum f -divergence when the operators P and Q satisfy the condition (2.18). Theorem 8. Let f : [0, ∞ ) → R be a ...
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New information inequalities on new f divergence by using ostrowski’s inequalities and its application
... Shannon divergence, Triangular Geometric divergence, Relative J- divergence, and Hellinger square divergence and Varitional distance independently in a specific interval by using two different ...
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Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions
... Similar results may be considered for other log-convex functions for which the log-derivatives are function of specific interest and generating δ−divergences which can be easier to calculate/estimate. In the next section ...
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New Approximations for f-Divergence via Trapezoid and Midpoint Inequalities
... [8] S.S. DRAGOMIR, V. GLUSCEVIC and C.E. M. PEARCE, The approximation of Csisz` ar f-divergence for absolutely continuous mappings, in Inequality Theory and Applications - Volume 1, Y.J. Cho, J.K. Kim and ...
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A Refinement of Jensen's Inequality with Applications for f-Divergence Measures
... for f -divergence measures of Csisz´ ar with particular instances for the total variation distance, χ 2 -divergence, Kullback-Leibler and Jeffreys divergences are provided as ...
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Generalizations of Hölder inequalities for Csiszar’s f divergence
... The aim of this paper is to give new generalizations of inequalities (.) and (.). Some related inequalities are also considered. The paper is organized as follows. In Section , we recall some basic facts about the ...
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A Generalization of f-Divergence Measure to Convex Functions Defined on Linear Spaces
... If one chooses di¤ erent convex functions generating particular diver- gence measures such as the Kullback-Leibler, Je¤ reys or Hellinger divergences, that one can obtain some particular[r] ...
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Majorization, Csiszár divergence and Zipf Mandelbrot law
... In Section , we present our main generalized results obtained from majorization in- equality by using Csiszár f -divergence and then obtain corollaries in the form of Shannon entropy and the K-L distance. ...
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Refinement of Jensen’s inequality and estimation of f and Rényi divergence via Montgomery identity
... for divergence between probability ...an f -divergence functional, we obtain some estimates for the new functionals, the f -divergence, and Rényi ...
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Zipf–Mandelbrot law, f divergences and the Jensen type interpolating inequalities
... of f -divergences which measure the distance between two probability distributions by making an average value, which is weighted by a specific function, of the odds ratio given by two probability ...existing ...
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Some Slater's Type Inequalities for Convex Functions Defined on Linear Spaces and Applications
... The main aim of the present paper is to extend Slater’s inequality for convex functions de…ned on general linear spaces. A reverse of the Slater’s inequality is also obtained. Natural applications for norm inequalities ...
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Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications
... function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f 0 including absolute conti- ...
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Nonselective Bottlenecks Control the Divergence and Diversification of Phase Variable Bacterial Populations
... systems where localized hypermutation contributes to phenotypic diversity. In partic- ular, we used population sizes, binary division, mutations in only one daughter cell, and mutation rates that are directly relevant to ...
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Inferring Parameters of Mutation, Selection and Demography From Patterns of Synonymous Site Evolution in Drosophila
... fates of simultaneously segregating mutations (McVean The mutation-selection-drift model for the evolution and Charlesworth 2000), under biologically realistic of codon usage provides a simple population genetic ...
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The Protein Chaperone HSP90 Can Facilitate the Divergence of Gene Duplicates
... ABSTRACT The heat-shock protein 90 (HSP90) acts as a chaperone by ensuring proper maturation and folding of its client proteins. The HSP90 capacitor hypothesis holds that interactions with HSP90 allow proteins to ...
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THE KINDS OF GENETIC VARIABILITY IN RELATION TO SELECTION RESPONSES IN DROSOPHILA FECUNDITY
... These results, together with the divergence patterns of the intermix selection experiments (relatively greater divergence and asymmetry in Base Intermix than in RRS Intermix [r] ...
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Patterns of Nucleotide Polymorphism and Divergence in the Odorant-Binding Protein Genes OS-E and OS-F: Analysis in the Melanogaster Species Subgroup of Drosophila
... nucleotide substitution rates of the OS-F gene indicate an overall higher functional constraint (Tables 1 and 2; Figure 3) and, therefore, would support that the idea that these genes have been functionally ...
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