We have the Fisher type inequality and the linear programming bound as upper bounds for the cardinalities of s-distance sets on S d−1. In this paper, we give new upper bounds for the cardinalities of s-distance sets on S d−1 for any s. Those upper bounds is a generalization of the Fisher typer inequality and is useful for s-distance sets which are not applicable to the linear programming bound.

Let H(S) be the Hardy space on the unit sphere S in C. We establish a local inequality for Hankel operators Hf = (1 − P )Mf |H(S). As an application of this local inequality, we characterize the membership of Hf in the Lorentz-like ideal C p , 2n < p <∞.

The main purpose of this survey paper is to point out some very recent developments on Simpson’s inequality for strongly extended s-convex function. Firstly, the concept of strongly extended s-convex function is introduced. Next a new identity is also established. Finally, by this identity and Hölder’s inequality, some new Simpson type for the product of strongly extended s-convex function are ...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course was offered through Stanford Online [2] in fall 2016 an...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...