Báo cáo hóa học: " Research Article The Optimal Convex Combination Bounds for Seiffert’s Mean" doc

... 686834, 9 pages doi:10.1155/2011/686834 Research Article The Optimal Convex Combination Bounds for Seiffert’s Mean Hong Liu 1 and Xiang-Ju Meng 2 1 College of Mathematics and Computer Science, Hebei ... b  1.6 hold for all a, b > 0witha /  b. 2. Main Results Firstly, we present the optimal convex combination bounds of contraharmonic and geometric means fo...

Ngày tải lên: 21/06/2014, 05:20

... Equations Proof. The approach of the proof is very similar to those in 17, 19, 20. Here, we omit it. Theorem 3.2. Provided that conditions (H 1 )–(H 4 ) hold, then the system 2.2 with the conditions 2.3 ... ψ  a  exp   t a χ  s  ds    t a exp   t s χ  r  dr  ψ   s  ds, 2.9 for all t ∈ a, b. In order to obtain our main results, we need the following hypot...

Ngày tải lên: 21/06/2014, 11:20

... after the first reader that ACKs them. The other associated readers of these tags need not ACK them again as they can be notified about the status of these tags by the earlier reader in the ACK ... the mean of 500 runs with 95% confidence intervals shown. The number of tags in the area was kept fixed at 50. More than the number of tags, the important parameter was the overla...

Ngày tải lên: 21/06/2014, 11:20

... flooding at the very beginning of the process until the key forwarder is met. Then what it takes is just waiting for it to meet the destination node. Note that the latter resembles the Spray and ... consider the path length, defined as the number of hops from source to destination, as well as the keeping time, defined as the average time a node keeps the bundle before for...

Ngày tải lên: 21/06/2014, 11:20

... (flows/sec), the DRBS does not allocate the bandwidth to the 4th and the 3rd layer video streams, respectively, for the MVBR. Figure 7(b) shows the delay time, of the CBR, MVBR, and UVBR for different ... verifying the current TH setting. In case the requirements cannot be met, the SGS chooses the minimum value as the TH setting value for guaranteeing the delay r...

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... 1–5. For the basic theory and recent development of the subject, we refer the reader to a text by Lakshmikantham et al. 6. For more details and examples, see 7–24 and the references therein. ... worth mentioning that there are still many problems that remain open in this vital field other than the results obtained in this paper: for example, whether or not we can study t...

Ngày tải lên: 21/06/2014, 05:20

... s 1 ,s 2   s 2 s 1  u M  x   2 dx  s 2 s 1 p   x  dx. 1.15 In the second inequality, the equality holds for the function which attains the Sobolev best constant, so especially it is not a constant function. Thus, for this function, the first inequality is ... 3 With the aid of Proposition 1.1, we obtain the following theorem. The p roof of Proposition 1.1 issh...

Ngày tải lên: 21/06/2014, 05:20

... AEP in information theory. The Shannon-McMillan theorem on the Markov chain has been studied extensively see 2, 3. I n the recent ye ars, with the development of the information theory scholars ... small-deviation theorems for the relative entropy densities of arbitrary random field on the generalized Bethe tree are discussed by comparing the arbitrary measure μ with t...

Ngày tải lên: 21/06/2014, 05:20

... 37, and radiation therapy treatment planning 38. The following result can be obtained from Theorem 3.1. We, therefore, omit the proof. Theorem 4.1. Let E be a nonempty closed convex subset of ...  ∞  n1 δ n T n x 2.9 for x ∈ E is well defined, nonexpansive, and FS  ∞ n1 FT n  holds. For solving the mixed equilibrium problem, let us give the following assumptions...

Ngày tải lên: 21/06/2014, 05:20

... Fixed Point Theory and Applications Mx to represent the unique y such that x, y ∈ M rather than the singleton set {y}.This interpretation will depend greatly on the context. The inverse M −1 of ... ·. Remark 3.6. For a suitable choice of the mappings A, η, F, M, I k , and space X, then the Algorithm 3.5 can be degenerated to the hybrid proximal point algorithm 16, 17 and...

Ngày tải lên: 21/06/2014, 05:20