Báo cáo hóa học: " Research Article Generalizations of Shafer-Fink-Type Inequalities for the Arc Sine Function" pot

... p 0 to 3.1 in the sense of Definition 3.1. Proof of Theorem 3.2. The existence result is given in Corollary 3.5, and we now turn to proof of uniqueness. For a given θ, assume that there exists another ... Δ 1 . 3.28 Egorov’s Theorem implies that for all >0, there is a closed subset Ω  of Ω such that |Ω\Ω  | <  and kθ m  → kθ uniformly on Ω  . Application of...

Ngày tải lên: 21/06/2014, 20:20

... 70 and others, 3 the KKM method—as for the Sion theorem, direct applications of the KKM theorem, or its equivalents like the Fan-Browder fixed point theorem for which we do not need the Hausdorffness; ... Theory and Applications Volume 2010, Article ID 234706, 23 pages doi:10.1155/2010/234706 Research Article Generalizations of the Nash Equilibrium Theorem in the...

Ngày tải lên: 21/06/2014, 18:20

... pages doi:10.1155/2009/705317 Research Article Generalizations of Shafer-Fink-Type Inequalities for the Arc Sine Function Wenhai Pan and Ling Zhu Department of Mathematics, Zhejiang Gongshang University, Hangzhou, ... 2007, Article ID 78691, 8 pages, 2007. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009, Article ID 705317, 6 pa...

Ngày tải lên: 21/06/2014, 20:20

... our main results, we also need the following lemmas. The first part of the next lemma is an immediate consequence of the subdifferential inequality, and the proof of the second part can be found ... − αα n }.Inviewof Lemma 2.4, we can obtain the desired conclusion easily. This completes the proof. As an application of Theorems 3.1 and 3.2, we have the following result...

Ngày tải lên: 21/06/2014, 05:20

... s n Ru n .InviewofTheorem 2.1, we can obtain the desired results immediately. Acknowledgments The authors are extremely grateful to the referees for useful suggestions that improved the contents of the paper. ... iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping whi...

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... 1/λη 0 , ii There exists R 0 > 0 such that ft, u, v ≥ θR 0 /λη 1 ,fort ∈ 1/4, 3/4, |u|  |v|≥θR 0 . Proof. By the proof of Theorem 3.1, we know that 1 from the condition f 0 < 1/λη 0 ,there exists ... Bt, pt, qt,andf satisfy the conditions of Theorem 3.1, and there exists at least a positive solution of the above problem. Acknowledgments This work is sp...

Ngày tải lên: 21/06/2014, 07:20

... 3.13 Then the statement of Theorem 3.2 with   t instead of  t is valid. In the following theorem, we prove the monotonicity property of M s,t defined in 2.52. Theorem 3.6. Let the assumption of ... 1.2 Journal of Inequalities and Applications 17 References 1 D. S. Mitrinovi ´ candJ.E.Pe ˇ cari ´ c, Generalizations of two inequalities of Godunova and Levin,...

Ngày tải lên: 21/06/2014, 07:20

... The proof is complete. Proof of Theorem 1.2. In the proof of Theorem 1.1, the condition that F 2 n, x ≥ 0for n, x ∈ J ×R, |x|≤1inF1, is only used in the the proofs of assumption ii of Lemma ... assumption ii of Lemma 2.1 holds. The proof of Theorem 1.2 is completed. Advances in Difference Equations 19 Acknowledgments The authors would like to express their than...

Ngày tải lên: 21/06/2014, 11:20

... consequently implies the validity of condition ii in Theorem 3.1. 2 Advances in Difference Equations As one of the focal topics in the research of dynamic equations on time scales, the study of boundary ... types of time scales 3–11. On the other hand, along with the significant development of the theories, practical applications of dynamic equations on time sc...

Ngày tải lên: 21/06/2014, 11:20

... change the BER performance of the base bits and the refinement bits. Figure 16 shows the PSNR performance of the VGA version of the H.264 scalable video decoded by the “good condition” user with the ... error rate, the gap between SNR for HP bit and the SNR for LP bits equals zero for some value of k. Because the overall SNR is the bigger on of the SNR...

Ngày tải lên: 21/06/2014, 18:20