Báo cáo hóa học: " Research Article Note on q-Extensions of Euler Numbers and Polynomials of Higher Order" docx

... give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q -Euler numbers and polynomials. We also consider the ... for q -Euler and q-Bernoulli polynomials and numbers see 1–18. Specially, there are papers for the q-extensions of Euler polynomials and numbers approach...

Ngày tải lên: 21/06/2014, 18:20

... u i → 0 exponentially for 2 ≤ i ≤ N, and u i t → X ∗ , where X ∗ is a certain solution of a logistic equation. Teng 8 and Ahmad and Stamova 9 also studied the coexistence on a nonautonomous ... is properly cited. A nonautonomous N-species discrete Lotka-Volterra competitive system with delays and feedback controls is considered in this work. Sufficient conditions on the coeffi...

Ngày tải lên: 21/06/2014, 11:20

... q-extension of Euler polynomials and numbers, see 14, 15. In this paper, we consider the new q-extension of Euler numbers and polynomials to be different which is treated by Ozden et al. From our q -Euler ... q -Euler zeta functions. Finally, we will derive the new formula for “sums of prod- ucts of q -Euler numbers and polynomials by using fermionic p-adic,...

Ngày tải lên: 22/06/2014, 06:20

... Scientific Research Foundation of the Education Department Guangxi Province of China 200707MS112 and by Foundation of Natural Science and Key Discipline of Applied Mathematics of Hechi University of ... manifolds, and other qualitative properties of solutions of differential equations and integral equation. There are a lot of papers investigating t hem such as 3–...

Ngày tải lên: 22/06/2014, 11:20

... term of the right-hand side of 4.4 is nonpositive, because of 4.2, and the second one is also nonpositive using the TCC. Therefore, we obtain Δft ≤ 0. Now, let us consider the function v ... integral estimation of the squared length of the gradient of the restriction of the warping function on a spacelike surface. If f is not locally constant then, M is said to be pro...

Ngày tải lên: 21/06/2014, 07:20

... S. Avidan, and P. Anandan, “Layer extraction from multiple images containing reflections and transparency,” in Proceedings of the IEEE Computer Socie ty Conference on Computer Vision and Pattern ... “Reflection transformation imaging and virtual representations of coins from the hospice of the grand st. bernard,” in Proceedings of the 6th International Sy mposium on Virtual...

Ngày tải lên: 21/06/2014, 20:20

... Kienhuis, and E. Deprettere, “Laura: leiden architecture research and exploration tool,” in Proceedings of the 13th International Conference on Field- Programmable Logic and Applications (FPL ... dis- cusses the cosimulation framework itself from a software design and implementation point of view. Section 5 ad- dresses the calibration of system-level simulation models. In Se...

Ngày tải lên: 22/06/2014, 19:20

... procedure 1SVDofC (2M × M)EVDofR xx (M × M) 2SVDof[U 11 U 12 ](M × 2G)SVDofC  (2G × G) 3EVDof −F x F −1 y (G × G)EVDofH (G × G) 4 Estimation of B Estimation of B 5 ∗ EVD of R xx (M × M)— 6 ∗ Estimation of ... permutation matrix containing only one non-zero element per line and column. Therefore, the columns of E −† H = QZ match those of Q to within scale and permutation and...

Ngày tải lên: 21/06/2014, 05:20

... I 2 and E x,k [·] stands for the expectation over the set of iterations (we can consider an arbitrary subset of all iterations) and the observation vector. Once the autocorrelation function is ... implementation infeasible. A number of solutions for this situation appeared (see a detailed discussion later). All of them are based on a message PDF approximation done by a proper pa...

Ngày tải lên: 21/06/2014, 07:20

... pages doi:10.1155/2011/913403 Research Article Notes on Interpolation Inequalities Jiu-Gang Dong 1 and Ti-Jun Xiao 2 1 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China 2 Shanghai ... 2011 J G. Dong and T J. Xiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted...

Ngày tải lên: 21/06/2014, 11:20