... 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...
... 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...
... 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,...
... 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–...
... 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 Δft ≤ 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...
... 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...
... 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...
... 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...
... 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...
... 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...