Jensen (1963) reported a case of so-called bilateral dislocation of the talus in a woman of sixty-four. The etiology of the lesion was not determined. The patient had had no trouble with her feet until she was forty-nine, when she began to get pain and valgus deformity. The pain ceased after six months but the deformities became progressively more severe. Jensen stated that he had not found ref...

In the last decade, the Jensen inequality has been intensively used in the context of time-delay or sampled-data systems since it is an appropriate tool to derive tractable stability conditions expressed in terms linear matrix inequalities (LMI). However, it is also well-known that this inequality introduces an undesirable conservatism in the stability conditions and looking at the literature, ...

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...