BACKGROUND A quantitative measurement of inequality in geographic accessibility to pediatric care as well as that of mean distance or travel time is very important for priority setting to ensure fair access to pediatric facilities. However, conventional techniques for measuring inequality is inappropriate in geographic settings. Since inequality measures of access distance or travel time is str...

Opportunity inequality and its relationship with economic growth is a concept to which not enough attention has been paid in the previous studies. This study attempts to investigate the effects of opportunity inequality index on economic growth in 15 developing and 15 developed countries over the years 1995-2015. Accordingly, the mean group (MG) estimator within the framework of panel data was ...

We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geometric Mean inequality and the Cauchy-Schwarz inequality.

1.1. Azuma-Hoeffding Inequality. Concentration inequalities are inequalities that bound probabilities of deviations by a random variable from its mean or median. Our interest will be in concentration inequalities in which the deviation probabilities decay exponentially or superexponentially in the distance from the mean. One of the most basic such inequality is the Azuma-Hoeffding inequality fo...

In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type via new fractional integral operator associated with the Caputo–Fabrizio derivative are presented. Furthermore, identity for differentiable convex functions of first order is proved. Then, taking into account as an auxiliary result assistance Hölder, power-mean, Young, Jensen inequality, some estimations...

Abstract In this work, we established some new general integral inequalities of Hermite–Hadamard type for s -convex functions. To obtain these inequalities, used the Hölder inequality, power-mean and generalizations associated with inequalities. Also compared (e.g., Theorem 6 8). Finally, gave applications special means.

The aim of this note is to connect a reversed form of the Gross logarithmic Sobolev inequality with the Gaussian maximum of Shannon’s entropy power. There is thus a complete parallel with the well-known link between logarithmic Sobolev inequalities and their information theoretic counterparts. We moreover provide an elementary proof of the reversed Gross inequality via a two-point inequality an...