... Corporation
Journal of Inequalities and Applications
Volume 2008, Article ID 592504, 10 pages
doi:10.1155/2008/592504
Research Article
Additive Functional Inequalities in
Banach Modules
Choonkil ... Hyers-Ulam stability of A-linear mappings in Banach A-modules
associated with the functional inequality 1.3. These results are applied to investigate
homomorphisms in c...
... 3.31
Hindawi Publishing Corporation
Advances in Difference Equations
Volume 2009, Article ID 973709, 14 pages
doi:10.1155/2009/973709
Research Article
A Functional Inequality in Restricted Domains ... left Banach A-module. An additive
mapping T : X → Y is called A-linear if TaxaTx for all a ∈ A and all x ∈ X.Inthis
paper, we investigate the stability problem for the foll...
... studied integral inequalities
useful in the theory of partial dynamic equations on time scales, as far as we know. In
this paper, we investigate some nonlinear integral inequalities in two independent ... cited.
We investigate some nonlinear integral inequalities in two independent variables on time scales.
Our results unify and extend some integral inequalities and their corr...
... classical
isoperimetric inequality, explaining it first in the plane, extending it then to domains in
R
n
, and describing also various applications the reader is also referred to 2–4.Inthe
survey 5 ... isoperimetric inequalities, ” Journal of Inequalities and Applications,
vol. 2009, Article ID 981258, 11 pages, 2009.
15 S. Lin, X. Bin, and Y. Wuyang, “Dual L
P
affine isoperime...
... z
j
(i)
is a term in the sequence with fixed j and running i.
2 Journal of Inequalities and Applications
In [2], the space m(φ) has been considered for matrix transformations and in [3]some
of its ... exceed s
2
. Again using the fact x
n
→0coordi-
natewise, there exists n
3
>n
2
such that
s
2
i=1
x
n
(i)e
i
m(φ,p,Δ)
<ε
2
,whenn ≥ n
3
. (2.4)
Continuing this...
... mikailet@yahoo.com
Hindawi Publishing Corporation
Journal of Inequalities and Applications
Volume 2007, Article ID 86757, 6 pages
doi:10.1155/2007/86757
Research Article
Some Geometric Inequalities in a New Banach ... z
j
(i)
is a term in the sequence with fixed j and running i.
2 Journal of Inequalities and Applications
In [2], the space m(φ) has been considered for matrix...
... constant.
Clearly, W
i
is strictly increasing, so its inverse W
−1
i
is well defined, continuous, and in-
creasing in its corresponding domain.
Theorem 2.1. In addition to the assumpt ions (C
1
), ... Jour-
nal of Inequalities in Pure and Applied Mathematics, vol. 2, no. 2, article 15, pp. 1–13, 2001.
[3] B. G. Pachpatte, “On some new inequalities related to certain inequalities...
... linear mappings by linear mappings,” Journal of
Functional Analysis, vol. 46, no. 1, pp. 126–130, 1982.
17 J. M. Rassias, “On approximation of approximately linear mappings by linear mappings,” ... Operators I, Springer, Berlin, Germany, 1983.
10 P. Gavruta, “An answer to a question of John M. Rassias concerning the stability of Cauchy equation,”
in Advances in Equations and Inequa...
... considered in [8], and at most four colors
are involved in [7]). In addition, the topologies considered
in these approaches are rarely changed.
Similarly, the radio resource allocation in overlapping
MBS ... topologies. In Scenario II, the new topology
is modified by adding/removing an edge to/from the initial
topology. In Scenario III, two-edge modifications are pre-
formed for t...
... signal in
thepresenceofMC.
2. 2-D Direct Data Domain Algorithm
Consider a URA consisting of N × P equally spaced elements
with the spacing of d
x
in rows (in the x direction) and d
y
in
columns (in ... [13–16].
The approach is to adaptively minimize the interference
power while maintaining the array gain in the direction of
the signal. The sample support problem is eliminated by
.....