Some Rearrangement Inequalities on Space of Homogeneous Type

Some Matrix Rearrangement Inequalities

We investigate a rearrangement inequality for pairs of n × n matrices: Let ‖A‖p denote (Tr(A∗A)p/2)1/p, the C trace norm of an n×n matrix A. Consider the quantity ‖A+B‖p+‖A−B‖p. Under certain positivity conditions, we show that this is nonincreasing for a natural “rearrangement” of the matrices A and B when 1 ≤ p ≤ 2. We conjecture that this is true in general, without any restrictions on A and...

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

On some Ostrowski type inequalities

In this paper we study Ostrowski type inequalities. We generalize some of the results presented in [1]. 2000 Mathematical Subject Classification: 26D15

On some Opial-type inequalities

* Correspondence: chjzhao@163. com Department of Mathematics, China Jiliang University, Hangzhou 310018, PR China Full list of author information is available at the end of the article Abstract In the present paper we establish some new Opial-type inequalities involving higherorder partial derivatives. Our results in special cases yield some of the recent results on Opial’s inequality and also ...

On Some Turán-type Inequalities