Báo cáo hóa học: " Research Article Some Identities on the Generalized q-Bernoulli Numbers and Polynomials Associated with q-Volkenborn Integrals" docx
... Corporation
Journal of Inequalities and Applications
Volume 2010, Article ID 575240, 17 pages
doi:10.1155/2010/575240
Research Article
Some Identities on the Generalized q-Bernoulli
Numbers and Polynomials ... Carlitz’s type
q-Bernoulli numbers and polynomials in the p-adic number field.
2. On the Generalized Higher-Order q-Bernoulli Numbers
and...
... Equations 7
5 L C. Jang, W J. Kim, and Y. Simsek, “A study on the p-adic integral representation on Z
p
associated
with Bernstein and Bernoulli polynomials, ” Advances in Difference Equations, ... Journal of Number
Theory, vol. 76, no. 2, pp. 320–329, 1999.
9 T. Kim, J. Choi, and Y H. Kim, Some identities on the q-Bernstein polynomials, q-Stirling numbers
and...
... approximating a common element of the set of fixed points of a nonexpansive nonself
mapping and the set of solutions of the equilibrium problem and obtained a strong
convergence theorem in a real ... Inequalities and Applications 5
the set of fixed points of a nonexpansive mapping, the set of solutions of the variational
inequalities for a relaxed cocoercive mapping, and th...
... polynomials
associated with the weighted q-Bernoulli polynomials by using the expression of p-adic q-
integral on
p
of those polynomials.
2. Weighted q-Bernstein Polynomials and q-Bernoulli Polynomials
In ... Corporation
Journal of Inequalities and Applications
Volume 2011, Article ID 513821, 8 pages
doi:10.1155/2011/513821
Research Article
A Study on the...
... function related to the q-Bernoulli
numbers and q-Bernoulli polynomials and give a new construction of these numbers and
polynomials related to the second kind Stirling numbers and q-Bernstein polynomials. ... function related to the q-Bernoulli numbers and q-Bernoulli
polynomials. We give a new construction of these numbers and polynomials related...
... f<2α and 0 <e
≤ s
n
≤ f
< 2β.
Then the sequence {x
n
} converges strongly to some point x,wherex P
F
x
1
.
As applications of Theorem 2.1, we consider the problems 1.9 and 1.11.
Journal ... Inequalities and Applications
Theorem 2.3. Let C be a nonempty closed convex subset of a real Hilbert space H.LetA : C → H be
an α-inverse-strongly monotone mapping, B : C →...
... cited.
The theorem on the Gronwall’s type integral inequalities with two dependent limits is established.
In application, the boundedness of the solutions of nonlinear differential equations is ... Inequalities and Applications
References
1 R. P. Agarwal, Difference Equations and Inequalities: Theory, Methods and Applications, vol. 155 of
Monographs and Textbooks in Pure...
... 2010, Article ID 203248, 11 pages
doi:10.1155/2010/203248
Research Article
A Remark on the Blowup of Solutions to
the Laplace Equations with Nonlinear Dynamical
Boundary Conditions
Hongwei Zhang and ... N. Koleva and L. G. Vulkov, On the blow-up of finite difference solutions to the heat-diffusion
equation with semilinear dynamical boundary conditions,” Applied Mathemati...
... position by selecting a random
direction and a random speed. The node randomly and uni-
formly selects its new direction θ(t)from(0,2π] and speed
v(t)from(0,V
max
]. During the time interval t, the ... node
moves with the velocity vector (v(t)cosθ(t), v(t)sinθ(t)). As
the node reaches the boundary of the simulation region,
it bounces back to the simulation region with...
... implementation on the SDR
platform. The results of the SDR implementation approach
and the insights we derived are provided in Section 9.
Section 10 completes the paper with final conclusions and
possible ... sustainable
transmission rate on the respective link. The frequency of the
Hello packet broadcasts in all the scenarios, except for the one
described in Sect...