Báo cáo hóa học: " Research Article On the Strong Laws for Weighted Sums " docx

... and its application to probability theory,” Transactions of the American Mathematical Society, vol. 82, pp. 323–339, 1956. 15 S. H. Sung, On the strong convergence for weighted sumsof random ... convergence results for weighted sums of identically distributed NA random variables. 4 Journal of Inequalities and Applications Theorem 1.4. Under the conditions of Theorem 1.2,...

Ngày tải lên: 21/06/2014, 05:20

... fixed-point theorem and discuss the closedness of strong solution set for the system of generalized strong vector quasiequilibrium problem. The results presented in the paper improve and extend the main ... 1.1,thenwecallx aweakefficient solution for VEP,andifx satisfies 1.2,thenwecallx a strong solution for VEP. Moreover, they also proved an existence theorem for a...

Ngày tải lên: 21/06/2014, 07:20

... χ.InSection 2, we give interesting identities for the power sums and the generalized twisted Bernoulli polynomials using the symmetric properties for the p-adic invariant integral. 2. Symmetry for the ... N, dw 1 −1  i0 χ  i  ξ w 2 i B k,χ,ξ w 1  w 2 w 1 i  w k−1 1  dw 2 −1  i0 χ  i  ξ w 1 i B k,χ,ξ w 2  w 1 w 2 i  w k−1 2 . 2.25 Acknowledgment The present...

Ngày tải lên: 22/06/2014, 03:20

... r.Note that the expectation in (1) is over the random variable, r .The Cramer-Rao lower bound for the position error is then CRLB = Tr  J −1 θ  2×2  ,(2) where the notation indicates taking the trace ... derivation of the well-known Cramer-Rao bound for the one-dimensional ranging, or time-delay estimation problem. Here the channel conditions are assumed to be the o...

Ngày tải lên: 22/06/2014, 19:20

... mass functions corresponding to each modality, a confusion matrix of one versus the other can be formed. The confusion-matrix of probability mass functions (PMFs), for this “N”hypothesis problem ... Using the Confusion Matrix of Mass Functions. The premise of coming up with such a confusion matrix is due to the fact that the two modalities under consideration carry complementary...

Ngày tải lên: 21/06/2014, 05:20

... 8–13. One should remember that the functional equation is called stable if any approximately solution to the functional equation is near to a true solution of that functional equation, and ... quadratic functional equation. In addition, every solution of functional eqaution 1.6 is said to be a quadratic mapping. A Hyers-Ulam stability problem for the quadratic functional equation...

Ngày tải lên: 21/06/2014, 05:20

... restrictions on nonlinear term of dynamic equation besides a barrier strips condition. The main tool in this paper is the induction principle on time scales. 1. Introduction Calculus on time scales, ... restrictions on nonlinear term of dynamic equation, many authors have obtained many excellent results for the above problem by using Topological degree theory, fixed-point theor...

Ngày tải lên: 21/06/2014, 05:20

... Therefore, A m is infinite dimensional. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ID 268450, 9 pages doi:10.1155/2010/268450 Research Article On the ... denote the complex and real Banach algebras of all continuous complex-valued and continuous real-valued functions on X under the uniform norm on X, respectively. Recently, Fupinwo...

Ngày tải lên: 21/06/2014, 07:20

... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 428936, 8 pages doi:10.1155/2010/428936 Research Article On the Exponent of Convergence for the Zeros of the Solutions ... the following theorem which concerns the exponent of convergence. Theorem 2.1. Let B and C be entire functions of order less than 1 with C / ≡ 0 and B being transcendental. Th...

Ngày tải lên: 21/06/2014, 07:20

... location are not a part of the apriorigiven formulation of the problem. For instance, in the context of chemical reactions, the formation of a dead core arises when the diffusion process is not strongly ... indicated before, those questions are not the main aim of this paper but the study of the free boundary generated by the solution under suitable additional conditions o...

Ngày tải lên: 21/06/2014, 11:20