Báo cáo hóa học: "Research Article Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations" pot

... (5.26) Proof. (i) By Lemma 5.2, the proof of the first inequality is similar to that of [8, Lemma 1]. (ii) The proof of the second inequality: for any ε>0, choose Borel subsets E, F of R n with  δ(E) ... since ᏹ t ∗ (E) ≥ 2 −t Ᏼ t (E)byTheorem 4.4. D C. Chang and Y . Xu 11 The following is the proof of the left-hand side of the inequality. By Lemmas 2.1 and...

Ngày tải lên: 22/06/2014, 22:20

... authors thank one of the reviewers for suggesting the inclusion of a concrete example to which Theorem 3.3 applies. They acknowledge the support of the Spanish Ministry of Science and Innovation, ... X. Furthermore τ p  τ d p . 6 Fixed Point Theory and Applications Then, they proved the following improvement of the celebrated Rakotch fixed point theorem see 28....

Ngày tải lên: 21/06/2014, 05:20

... authors thank one of the reviewers for suggesting the inclusion of a concrete example to which Theorem 3.3 applies. They acknowledge the support of the Spanish Ministry of Science and Innovation, ... T 0 6 Fixed Point Theory and Applications Then, they proved the following improvement of the celebrated Rakotch fixed point theorem see 28. Theorem 3.1 Lafit and...

Ngày tải lên: 21/06/2014, 17:20

... (Andrew) Zhang et al. 11 period. The smaller the sampling period is, the higher the resolution ability is. The performance of estimation is mainly influenced by the SNR, and the dimension of the ... the speed of convergence depends on the ratio between the two largest singular values of the matrix. The larger the ratio is, the faster it converges. For...

Ngày tải lên: 21/06/2014, 23:20

... denote the matrices and column-vectors, and the superscripts [ •] T and [•] H represent the transpose and conjugate transpose operations, respectively. I K denotes the identity matrix of size K ,and[ •] k,t denotes ... Using the updated signals in (36), we detect the infor- mation symbols by (32)–(36) in the forthcoming iteration. Step 5. Repeat the Steps 1–4 unti...

Ngày tải lên: 21/06/2014, 23:20

... the values of X, the mean of each class is assigned as the initial value of μ i , the maximum distance among the points of each class is assigned as the initial value of  i , and the value of ... 740 (c) Figure 11: The results of the advantage of STCBM, where the red color means the shadow, the green color means the highlight, and the blue colo...

Ngày tải lên: 22/06/2014, 23:20

... a 2 b 1 |). Clearly, the entropic uncertainty principle in the LCT domains (see (41)) is connected with the LCT par ameters a and b and independent of c and d. Why do not the parameters c, d have relation with the ... relation with the extended Pitt’s inequality in the LCT domains? From definition (3) of the LCT, we find that the parameters c, d only play the role...

Ngày tải lên: 21/06/2014, 20:20

... c)g 2 (y)dy  1/2 . (3.2) Then relation (3.1)isvalid.Theorem 3.1 is proved.  In a similar way to the proof of Theorem 3.1, we can prove the following theorem. 12 Journal of Inequalities and Applications Acknowledgment The ... Applications Acknowledgment The authors thank the referees for their help and patience in improving the paper. This work is supported by the N...

Ngày tải lên: 21/06/2014, 22:20

... 2r n p n < 2n. The proofs given later will be divided into the control of the bounded terms that corre- spond to the index q  1 and the control of the unbounded terms, corresponding to the indices q ... exponential inequalities for positively associated random variables without the boundedness assumption. These inequalities improve the corresponding results o...

Ngày tải lên: 21/06/2014, 22:20

... get the result want to be proved by a simple modification of the proof of Lemma 2.2.We omit the details. The proof of Theorem 1.2 is complete. Acknowledgments The research was supported by the ... Markov-type inequalities are known for various classes of polynomials with constraints including constraints of the coefficients of the polynomials. For N and δ>0...

Ngày tải lên: 22/06/2014, 02:20