Báo cáo hóa học: " Research Article On the Cauchy Functional Inequality in Banach Modules" doc

... and p rove the generalized Hyers-Ulam stability of A-linear mappings in Banach A-modules associated with the functional inequality 1.3. The computations in the proofs of the main theorems are ... 1985. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2008, Article ID 904852, 8 pages doi:10.1155/2008/904852 Research Article On the...

Ngày tải lên: 22/06/2014, 03:20

... Processing The confusion-matrix of PMFs thus obtained for the audio- visual speech features combined is shown in Ta bl e 2. 3.3. Formulating the Soft Belief Function Using the Confusion Matrix ... hypothesis from the two possible classifications. 3.4. Multimodal Speaker Diarization As a B inary Hypothesis Testing-Like Problem in Speech P rocessing. In the context of audio doc...

Ngày tải lên: 21/06/2014, 05:20

... question whether the result of Theorem D about the case α  γ holds for ρ ∗ -mixing sequence. 2 Journal of Inequalities and Applications The notion of ρ ∗ -mixing seems to be similar to the notion ... of Inequalities and Applications Theorem 1.4. Under the conditions of Theorem 1.2, the assumptions EX  0 for 1 <α≤ 2 and 1.8 for α /  γ imply the following Marcinkiewicz-Zyg...

Ngày tải lên: 21/06/2014, 05:20

... 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 was ... Indeed, Czerwik in 7 proved the Cauchy- Rassias stability of the quadratic functional equation. Since then, the stability problems of various functional equation have bee...

Ngày tải lên: 21/06/2014, 05:20

... 8AdvancesinDifference Equations version of the induction principle on time scales Remark 1.6, we can obtain the following result. Theorem 3.1. Let g : σa,b × 2 → be continuous. Suppose that there ... for the above problem by using Topological degree theory, fixed-point theorems on cone, bifurcation theory, and so on. In 2004, Ma and Luo 18 firstly obtained the existence of...

Ngày tải lên: 21/06/2014, 05:20

... is in nite dimensional, then CX fails to have the fixed-point property. Dhompongsa et al. studied the fixed-point property of complex C ∗ -algebras in 8 and obtained the following result. Theorem ... 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, Fu...

Ngày tải lên: 21/06/2014, 07:20

... lower semicontinuous on X if it is lower semicontinuous at all x ∈ X. iii T is said to be continuous on X if, it is at the same time upper semicontinuous and lower semicontinuous on X. iv ... presented in the paper improve and extend the main results of Long et al. 2008. 1. Introduction The equilibrium problem is a generalization of classical variational inequalities. Th...

Ngày tải lên: 21/06/2014, 07:20

... Publishing 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 ... complete. Acknowledgment The author thanks Professor J. K. Langley for the invaluable discussions on the results of this paper during his visit in summer 2008 and summer...

Ngày tải lên: 21/06/2014, 07:20

... assumptions imply the comparison principle and then the uniqueness of periodic solution 6 and references therein and the continuous dependence with respect to the data 12 and references therein. ... remarks. As 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 cond...

Ngày tải lên: 21/06/2014, 11:20

... to extinction in complex spatial domains. The analysis conducted here determines that for Dirchlet boundary conditions on a connected domain there exists an extinction state as a result of the introduction ... that the solution belongs to the requisite functional spaces. 4.3. Continuity with Respect to Initial Data and Uniqueness of Solutions We now show continuity with respect...

Ngày tải lên: 21/06/2014, 11:20