We consider a transmission wave equation in two embedded domains in R, where the speed is a1 > 0 in the inner domain and a2 > 0 in the outer domain. We prove a global Carleman inequality for this problem under the hypothesis that the inner domain is strictly convex and a1 > a2. As a consequence of this inequality, uniqueness and Lipschitz stability are obtained for the inverse problem of retrie...

We propose an Inverse Kinematic Control architecture capable of handling tasks that are expressed in terms of inequality constraints in the Cartesian space. These inequality constraints are progressive in the sense that their influence manifests itself in a zone of finite thickness by damping the progression toward the strict limit of the constraint. We show how to enforce this family of constr...

* Correspondence: [email protected] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand Full list of author information is available at the end of the article Abstract Without the strong monotonicity assumption of the mapping, we provide a regularization method for general variational inequality problem, when its solution set is related to a solution se...

An alternative to inverse-dynamics joint-torques estimation in human stance is proposed. This alternative is based on unknown-input observers which, from measurements of the angular positions, allow real-time estimation of joint torques and angular velocities. To design the aforementioned observer, a nonlinear state-space dynamical descriptor model is proposed. The descriptor model is then writ...

Several maximal inequalities of Kahane-Khintchine’s type in certain Orlicz spaces are proved. The method relies upon Lévy’s inequality and the technique established in [14] which is obtained by Haagerup-Young-Stechkin’s best possible constants in the classical Khintchine inequalities. Moreover by using Donsker’s invariance principle it is shown that the numerical constant in the inequality dedu...

Many recent studies point to increasing inequality in mortality in the United States over the past 20 years. These studies often use mortality rates in middle and old age. We used poverty level rankings of groups of U.S. counties as a basis for analyzing inequality in mortality for all age groups in 1990, 2000, and 2010. Consistent with previous studies, we found increasing inequality in mortal...

A recent literature on inequality of opportunity offers quantitative tools for comparisons and measurement based on stochastic dominance criteria and traditional inequality indices. In this paper I suggest an additional way of assessing inequality of opportunity with two indices of dissimilarity across distributions. The indices are based on a traditional homogeneity test of multinomial distrib...

OBJECTIVE To achieve universal coverage of reproductive healthcare and drastic reduction in maternal mortality, adequate attention and resources should be given to young women. This study therefore aimed to examine the inequality trends in the use of antenatal care (ANC) services and skilled birth attendance (SBA) within a subgroup of Ghanaian women aged 15-24 years between 2003 and 2014. DES...

This article reports an extension of powered inverse Rayleigh distribution via DUS transformation, named DUS-Powered Inverse (DUS-PIR) distribution. Some statistical properties suggested in particular, moments, mode, quantiles, order statistics, entropy, inequality measures and stress-strength parameter have been investigated extensively. To estimate the parameters, maximum likelihood estimatio...

Abstract. In this note, we present two arguments showing that the classical linear adjoint cone restriction conjecture holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on a dyadic restriction estimate, while the second follows from a strengthening version of the Hausdorff-Young inequality and the Hölder inequal...