Báo cáo hóa học: " Some Orlicz norms inequalities for the composite operator T ∘ d ∘ H" pptx

... propose the local estimate for the composite operator of T ∘ d ∘ H with the Orlicz norm, and at last extend it to the global version in the L  (μ)-averaging domains. The proof of all the theorems ... 2.12. Let us assume, in addition to the definitions of the homotopy operator T, the exterior derivative d, the projection operator H, the measur...

Ngày tải lên: 20/06/2014, 22:20

... provides, for the case that B, C are the self- adjoint operators in the Cartesian decomposition of A, exactly the lower bound obtained by Kittaneh in 1.7 for the numerical radius wA. For other inequalities ... we deduce the first inequality in 3.16 . The second inequality follows by the property xi from Introduction applied for the self-adjoint operators V 1...

Ngày tải lên: 22/06/2014, 03:20

... projection operator that maps C ∞ (∧ k D) onto H such that H(ω) is the harmonic part of ω; see [8] for more properties on the projection operator and Green’s operator. The definition of the homotopy ... this section, we establish the weighted inequalities for the composite operator T ○ H in terms of Orlicz norms. To state our results, we need some definition...

Ngày tải lên: 20/06/2014, 22:20

... p-contr active map- ping. Then, for each u 0 Î X, there exists an orbit {u n }∈O (T, u 0 ) such that Hirunworakit and Petrot Fixed Point Theory and Applications 2011, 2011:78 http://www.fixedpointtheoryandapplications.com/content/2011/1/78 Page ... Thailand 2 The Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand Authors’ contributions Both authors contrib...

Ngày tải lên: 20/06/2014, 22:20

... NOD random variables without assumptions of identical distribution and stochastic domina- tion. The results presented in this article are obtained using the truncated method and the Rosental’s-type ... This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses /by/2.0), which permits unrestricted use, d...

Ngày tải lên: 20/06/2014, 22:20

... are satisfied. Thus, there exist a solution u Î C([0, T] ) of the integral equation (9). Acknowledgements The authors thank the editor and the referees for their useful comments and suggestions. ... complete ordered metric space using altering dista nce functions. They proved the following theorems. Shatanawi et al. Fixed Point Theory and Applications 2011, 2011:68 http://www.fix...

Ngày tải lên: 20/06/2014, 22:20

... studies the truncated part giving conditions on the truncating sequence to enable the proof of some exponential inequalities for these terms. Section 4 treats the tails left aside from the truncation. ... index q  1 and the control of the unbounded terms, corresponding to the indices q  2, 3. 3. Control of the bounded terms In this section, we will work hard to contr...

Ngày tải lên: 21/06/2014, 22:20

... and the conclusion of the theorem still holds? This question was not posed by Borwein and Erd ´ elyi in 5, 6. Also, we have not found the study for the question by now. This paper addresses the ... 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 wa...

Ngày tải lên: 22/06/2014, 02:20

... example to illustrate that our new trace bounds are better than those of the recent results. Then, to illustrate that the application in the algebraic Riccati equations of our results will have different ... illustrated that our bounds are better than those of the previous results. Acknowledgments The authors would like to thank Professor Jozef Banas and the referees for the ve...

Ngày tải lên: 22/06/2014, 03:20

... article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. ... of the inequalities Convergence is an important problem in the study of q-series. There are some results about it. For example, Ito used inequality technique to give a sufficient condi...

Ngày tải lên: 22/06/2014, 06:20