In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.

in this study, by a non-negative homogeneous kernel k we prove some extensions of hardy's inequalityin two and three dimensions

background and purpose: utilization of health care services and food influence the health status. the food and health care expenditure ratios determine the importance level of them in household's consumption expenditures. we aimed to investigate the iranian rural and urban food and health expenditure ratios inequality during 1998 to 2012. materials and methods: this is a descriptive longit...

knowing income inequality in socio-economic subgroups helps us to achieve justice. the main goal of this study is to evaluate, decompose and compare the theil and atkinson inequality indices in terms of the inequality within and inequality between urban and rural area in tehran province during the 3rd and the 4th economic development program of iran. doing so, we used the micro households'...

The paper furthers the neoclassical theory of earnings inequality. The inequality multiplier is derived as the amount by which inequality in skills must be multiplied to yield earnings inequality. Neutral technological change and the real interest rate affect inequality by changing capital per worker. The effect of capital per worker on the inequality multiplier is related to skill differential...

We review several inequalities concerning Gaussian measures isoperimetric inequality, Ehrhard’s inequality, Bobkov’s inequality, S-inequality and correlation conjecture. 2000 Mathematics Subject Classification: 60E15, 60G15, 28C20, 26D15.

In this note we prove the complex counterpart of the S-inequality for complete Reinhardt sets. In particular, this result implies that the complex S-inequality holds for unconditional convex sets. As a by-product we also obtain the S-inequality for the exponential measure in the unconditional case. 2010 Mathematics Subject Classification. Primary 60G15; Secondary 60E15.