There are many information and divergence measures exist in the literature on information theory and statistics. The most famous among them are Kullback-Leibler [13] relative information and Jeffreys [12] Jdivergence. Sibson [17] Jensen-Shannon divergence has also found its applications in the literature. The author [20] studied a new divergence measures based on arithmetic and geometric means....

A measure is derived to quantify directed information transfer between pairs of vertices in a weighted network, over paths of a specified maximal length. Our approach employs a general, probabilistic model of network traffic, from which the informational distance between dynamics on two weighted networks can be naturally expressed as a Jensen Shannon divergence. Our network transfer entropy mea...

V. Zharnitsky, I. Mitkov, and N. Gronbech-Jensen [Phys. Rev. E 58, 1, R52 (1998)] found that pi kinks can propagate in strongly perturbed, directly driven rescaled sine-Gordon system provided that the parameters are chosen to make 2pi kink localization vanish. In this paper we would like to note that beside pi and 2pi kinks there can exist other kinklike solutions due to the fact that two unsta...

Similar efficacy of human banked milk and bovine colostrum to decrease incidence of 1 necrotizing enterocolitis in preterm piglets 2 3 Michael L. Jensen, Per T. Sangild, Mikkel Lykke, Mette Schmidt, Mette Boye, Bent B. Jensen, 4 Thomas Thymann 5 6 7 Department of Nutrition, Exercise and Sports, Faculty of Science and Department of 8 Reproduction, Faculty of Health and Medical Sciences, Universi...

The purpose of this paper is to derive some criteria for vectorial prequasi-invex type functions via Jensen type inequalities. It is shown that a Jensen type inequality is sufficient and necessary for a vector function to be prequasi-invex under the condition of lower levelclosedness, cone lower semicontinuity, cone upper semicontinuity and semistrict prequasi-invexity, respectively. Analogous ...

Michael L. Jensen, Per T. Sangild, Mikkel Lykke, Mette Schmidt, Mette Boye, Bent B. Jensen, and Thomas Thymann Department of Nutrition, Exercise and Sports, Faculty of Science, University of Copenhagen, Frederiksberg C, Denmark; Department of Reproduction, Faculty of Health and Medical Sciences, University of Copenhagen, Frederiksberg C, Denmark; National Veterinary Institute, Technical Univers...

By using the theory of majorization, the following inequalities of Jensen-PečarićSvrtan-Fan type are established: Let I be an interval, f : I → R and t ∈ I, x, a, b ∈ I. If a1 ≤ · · · ≤ an ≤ bn ≤ · · · ≤ b1, a1 +b1 ≤ · · · ≤ an +bn; f(t) > 0, f ′(t) > 0, f ′′(t) > 0, f ′′′(t) < 0 for any t ∈ I, then f(A(a)) f(A(b)) = fn,n(a) fn,n(b) ≤ · · · ≤ fk+1,n(a) fk+1,n(b) ≤ fk,n(a) fk,n(b) ≤ · · · ≤ f1,n...

A characterization is given of the sequences {"fyj^o vvith the property that, for any complex polynomial/(z) = 1akzk and convex region Kcontaining the origin and the zeros of/, the zeros of 2 y¡<akzk again lie in K. Many applications and related results are also given. This work leads to a study of the Taylor coefficients of entire functions of type I in the Laguerre-Pólya class. If the power s...

3 0 Introduction 3 Part I 1 Formulation of the various systems 7 2 Theorems of various systems 13 On ReS and finite sets 13 Proof that HF models ZF – Infinity 16 On GJ and the class of rudimentary functions 20 Companions and the Gandy–Jensen Lemma 21 A single generating function for rud(u) 22 Other remarks on GJ 23 On fReR 25 On ReRI 26 On KP 27 3 Remarks on transitive models 27 4 Models of ReS...

New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen’s inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of Shannon’s inequality and the positivity of Kullback-Leibler divergence are obtained.