In this paper, we give a unified generalization of Aczél, Popoviciu and Bellman's inequalities. The result is then applied to deriving a refinement of Aczél's inequality and Bellman's inequality. As consequences, several interesting integral inequalities of Aczél-Popoviciu-Bellman type are obtained.

BACKGROUND The basic premise of preadjusted bracket system is accurate bracket positioning. It is widely recognized that accurate bracket placement is of critical importance in the efficient application of biomechanics and in realizing the full potential of a preadjusted edgewise appliance. AIM The purpose of this study was to design a calibrating system to accurately detect a point on a plan...

We provide necessary and sufficient conditions for the validity of the inequality of Simes (1986) in models with elliptical dependencies. Necessary conditions are presented in terms of sufficient conditions for the reverse Simes inequality. One application of our main results concerns the problem of model misspecification, in particular the case that the assumption of Gaussianity of test statis...

Motivated by quantum probability, Junge and Xu recently extended this result to the range 1 < p < 2. In this paper we study Burkholder’s inequality for p = 1, for which the techniques (as we shall explain) must be different. Quite surprisingly, we obtain two non-equivalent estimates which play the role of the weak type (1, 1) analog of Burkholder’s inequality. As application, we obtain new prop...

BACKGROUND The inequality of health human resource is a worldwide problem, and solving it also is one of the major goals of China's recent health system reform. Yet there is a huge disparity among cities in mainland China. The aim of this study is to analyze the distribution inequality of the health human resource in 322 prefecture-level cities of mainland China in 2014, and to reveal the facet...

This article evaluates the legitimacy and degree of inevitability of unequal access to medicine. The author introduces 'fractal inequality' to the access issue by using the term to describe skewed patterns in distributions of income and wealth that lead to reallocative effects of higher spending on health care by the wealthiest that can cascade down the distributive ladder. 'Fractal inequality'...

introduction: the purpose of the current study was to investigate the effect of training behavior modification methods to mothers of children with attention deficit disorder (adhd) on reducing behavior problems and adhd symptoms in their children’s. method: the research method was quasi-experimental with pre-test and post-test design and cotrol group. to do so, 24 mothers of children with adhd ...