báo cáo hóa học: " Some inequalities for unitarily invariant norms of matrices" doc

... 2011, 2011:10 http://www.journalofinequalitiesandapplications.com/content/2011/1/10 Page 4 of 7 RESEARCH Open Access Some inequalities for unitarily invariant norms of matrices Shaoheng Wang, Limin ... n . 2. Some inequalities for unitarily invariant norms In this section, we first utilize the convexity of the function ψ ( r ) =   A r XB 2−r + A 2−r XB r   to...

Ngày tải lên: 21/06/2014, 02:20

... Moment inequalities for END sequence In this section, we will present some moment inequalities, especially the Rosenthal- type inequality for END sequence by means of the probabili ty inequalities ... completes the proof of the theorem. Shen Journal of Inequalities and Applications 2011, 2011:98 http://www.journalofinequalitiesandapplications.com/content/2011/1/98 Page 10...

Ngày tải lên: 20/06/2014, 22:20

... C p denote the ring of p-adic integers, the field of p-adic numbers, and the completion of the algebraic closure of Q p , respectively. Let | · | p be the p-adic norm on Q with |p| p = p −1 . For convenience, ... provide some basic formulas for p-adic q-Bernoulli, p-adic q-Euler numbers and polynomials which will be used to prove the main results of this article. Let UD(Z p , C...

Ngày tải lên: 20/06/2014, 04:20

... Lee Journal of Inequalities and Applications 2011, 2011:117 http://www.journalofinequalitiesandapplications.com/content/2011/1/117 Page 7 of 14 RESEARCH Open Access Norm inequalities for the conjugate ... and Lee Journal of Inequalities and Applications 2011, 2011:117 http://www.journalofinequalitiesandapplications.com/content/2011/1/117 Page 10 of 14 Eventually, the identity...

Ngày tải lên: 20/06/2014, 22:20

... 1}beanonincreasingsequenceof Gong Journal of Inequalities and Applications 2011, 2011:59 http://www.journalofinequalitiesandapplications.com/content/2011/1/59 Page 4 of 10 RESEARC H Open Access Maximal  -inequalities ... et al. [9] established some max- imal inequalities for d emimartingales that generalize the r esults of Wang [7]. In this paper, we establish some maximal ...

Ngày tải lên: 20/06/2014, 22:20

... isolates were col- lected for analysis. For comparison purposes, cells were exposed to transfection reagent alone or HSV-1 (MOI of 1 and 10) for 24 hours. Quantification of IL-6 and TNF-a secretion ... VSC participated in the performance of the in vivo viral infections and the isolation of CNS cells. MM participated in the preparation of viral stocks and determination of vir...

Ngày tải lên: 19/06/2014, 22:20

... high-throughput method for the analysis of uncertain models, e.g. in biological research. Methods — Generalized modeling for conceptual analysis of large classes of models. Results — Local dynamics of uncertain ... different levels of modeling. ,2 1 Generalized Models for high-throughput analysis of uncer- tain nonlinear systems Thilo Gross , Stefan Siegmund ∗ 2 1 Max-Planck...

Ngày tải lên: 20/06/2014, 01:20

... springeropen.com Uyanik and Owa Journal of Inequalities and Applications 2011, 2011:87 http://www.journalofinequalitiesandapplications.com/content/2011/1/87 Page 6 of 6 for some j(j = 3, 4, 5, ), then f ( z ) ∈ K , ... −1)    f (k−1) (0)    . (3:8) Uyanik and Owa Journal of Inequalities and Applications 2011, 2011:87 http://www.journalofinequalitiesandapplications.com/cont...

Ngày tải lên: 20/06/2014, 22:20

... then A + B ∗ ≤ C + D . Proof. The proof is trivial and therefore omitted. □ 3 Minus partial ordering In this section, we present some results on the minus orderings of the matrix product and ... ≤ * C (or B ≤ * D). Proof. The proof is trivial and therefore omitted. Since A ∗ ≤ B and A ≤ * B are equivalent to A ∗ ∗ ≤ B ∗ and A ∗ ∗ ≤ B ∗ , respectively, there- fore, for the rowwise partit...

Ngày tải lên: 21/06/2014, 00:20

... University of Jinan Research Funds for Doctors (XBS0843) and University of Jinan Innovation Funds for Graduate Students (YCX09014). Author details 1 School of Science, University of Jinan, Jinan ... sshrong@163. com 1 School of Science, University of Jinan, Jinan 250022, Shandong, PR China Full list of author information is available at the end of the article Abstract In t...

Ngày tải lên: 21/06/2014, 03:20