Báo cáo hóa học: " Research Article On Boundedness of Weighted Hardy Operator in Lp · and Regularity Condition" docx

... operator Hfx  |y|≥|x| fydy. Journal of Inequalities and Applications 13 The same reasoning brings us to the proof of the exactness of conditions 2.2 and 2.3 for the function βx also. For instance, to show the necessity of ... logarithmic conditions of regularity in a neighborhood of zero and at in nity for the exponents px ≤ qx,βx, necessary and su...

Ngày tải lên: 21/06/2014, 07:20

... both monotonically increasing. 2 They are both monotonically decreasing. 3 Eventually, one of them is monotonically increasing, and the other is monotonically decreasing. Remark 3.3. Using ... 267–276, 2002. Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 463169, 11 pages doi:10.1155/2009/463169 Research Article On Boundedness of So...

Ngày tải lên: 21/06/2014, 20:20

... original work is properly cited. By applying the way of weight functions and a Hardy s integral inequality, a Hilbert -Hardy- type integral operator is defined, and the norm of operator is obtained. ... Operator and Applications Xingdong Liu 1 and Bicheng Yang 2 1 Department of Mathematics, Zhaoqing University, Guangdong, Zhaoqing 526061, China 2 Department of Mathematic...

Ngày tải lên: 21/06/2014, 07:20

... pages doi:10.1155/2010/905858 Research Article On Properties of Solutions for Two Functional Equations Arising in Dynamic Programming Zeqing Liu, 1 Jeong Sheok Ume, 2 and Shin Min Kang 3 1 Department of Mathematics, Liaoning ... approximation, and error estimate of solutions for the functional equation 1.3 and 1.4. Under certain conditions, we also study other properti...

Ngày tải lên: 21/06/2014, 11:20

... “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, vol. 178 of Lecture ... obvious. Conclusion 1. A mapping is closed hemi-relatively nonexpansive if and only if it is weak relatively nonexpansive. If E is strictly convex and reflexive Banach space,...

Ngày tải lên: 21/06/2014, 17:20

... V 1 (x)definedas V 1 ( x )  ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ 1 1· · 1 x 1 x 2 · · x N min . . . . . . . . . . . . x N min −1 1 x N min −1 2 · · x N min −1 N min ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ . (53) In terms of the property of a Vandermonde matrix [31], the determinant ... Chiani, “Source information transmission over MIMO systems with transmitter side infor- mation,” in Proceedings of the 46t...

Ngày tải lên: 21/06/2014, 18:20

... Bejerano, “Efficient integration of multi-hop wireless and wired networks with QoS constraints,” in Proceedings of the 8th Annual International Conference on Mobile Computing and Networking (MOBICOM ... 2002. [9] A. Srinivas, G. Zussman, and E. Modiano, “Mobile backbone networks—construction and maintenance,” in Proceedings of the International Symposium on Mobile Ad Hoc N...

Ngày tải lên: 21/06/2014, 18:20

... among transmitting nodes, either in the form of communicated phase offsets or reception of a common beacon signal. In either case, the complexity of maintaining synchronization is nontrivial. 2.2. ... synchronize the carriers of multiple transmitting nodes in hopes that their signals will constructively combine at the destination [7, 8]. These schemes rely on some kind of sha...

Ngày tải lên: 21/06/2014, 20:20

... 30529. References 1 N. Minorsky, Nonlinear Oscillations, D. Van Nostrand, Princeton, NJ, USA, 1962. 2 L. Berezansky and E. Braverman, “Nonoscillation of a second order linear delay differential equation with ... problems of the existence, uniqueness and solution representation of 1.11. Problems related to oscillation/nonoscillation, stability and applications to second-order...

Ngày tải lên: 21/06/2014, 20:20

... role in finding a common element of the set of fixed common fixed point for different classes of mappings and the set of solutions of an equilibrium problem in the framework of Hilbert spaces and ... is of monotone type(A) and monotone type(B) with respect to F. Moreover, {x n } converges strongly to a common fixed point of the maps {T i : i ∈ I} if and only if lim...

Ngày tải lên: 21/06/2014, 07:20