Báo cáo hóa học: " Research Article Cauchy Means of the Popoviciu Type" pot
Báo cáo hóa học: " Research Article Normality Criteria of Lahiri’s Type and Their Applications" pdf
... arrive at a contradiction by using the same argument as in the latter part of
proof of Theorem 1.1.
This completes the proof of Theorem 1.2.
5. Applications
Proof of Theorem 1.3. We shall divide our ... the proof of Theorem 5.1.
Acknowledgments
The authors thank the referees for reading the manuscript very carefully and making a
number of valuable suggestions to impr...
Báo cáo hóa học: " Research Article A Converse of Minkowski’s Type Inequalities" ppt
... <s<r,
then
u
s
1
u
s
2
··· u
s
k
1/s
≥
u
r
1
u
r
2
··· u
r
k
1/r
.
2.1
Proof of Theorem 1.1. In our proof we often use the well-known fact that the scale of power
means is ... inequality:
⎛
⎝
n
j1
m
i1
a
ij
p
⎞
⎠
1/p
≤
m
i1
⎛
⎝
n
j1
a
p
ij
⎞
⎠
1/p
,
1.2
Journal of Inequalities and Applications 7
Case 5 0 <p<q<1.Ifm ≤ n, then...
Báo cáo hóa học: " Research Article Blind Estimation of the Phase and Carrier Frequency Offsets for LDPC-Coded Systems" potx
... n
r
denotes the
number of rows in the parity check matrix of the code, u
k
is the number of nonzero elements in the kth row of the
parity check matrix and n
iter
is the number of iterations
of the optimization ... as
l
(
S
(
k
))
=
(
−1
)
u
k
+1
atanh
⎛
⎝
u
k
j=1
tanh
⎛
⎝
r
k
j
2
⎞
⎠
⎞
⎠
,
(7)
where
r
(
i
)
=
2
σ
2
r
(
i
)
(8)
is the LLR of the ith r...
Báo cáo hóa học: " Research Article Performance Analysis of the 3GPP-LTE Physical Control Channels" pdf
... OFDM symbol of the first slot of each subframe.
For the normal CP duration, the PHICH is also mapped into
the first OFDM symbol of the first slot of each subframe. On
the other hand, for the extended ... defining the
control channels to resource element mapping. The size of
the REG varies depending on the OFDM symbol number and
antenna configuration [1]. The PCFIC...
Báo cáo hóa học: " Research Article Nonlinear Analysis of the BOLD Signal" ppt
... accelerate the
convergence of the algorithm.
The nature of the fixed point is determined by the char-
acteristic values of the Jacobian matrix of partial derivatives
evaluated at the fixed point. The ... right
shows the histogram of the estimated parameters. The
left column shows the time series of the estimated state
functions of the hemodynamic respon...
Báo cáo hóa học: " Research Article Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach" doc
... completes the proof of the theorem.
Acknowledgment
The authors are very grateful to the referees for their helpful comments and suggestions.
6 Fixed Point Theory and Applications
The uniqueness of T ... 3791–3798, 2008.
17 D. H. Hyers, “On the stability of the linear functional equation,” Proceedings of the National Academy of
Sciences of the United States of...
Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc
... solution of 5.19 if p ≥ 2.
Acknowledgments
This research is supported by the Grant 201/07/0145 of the Czech Grant Agency of the Czech
Republic, and the Research Project MSM0022162409 of the Czech ... Similarly, as in the proof of Theorem 4.1, denote w
k
r
k
ΦΔh
k
/h
k
and let w
k
be a
solution of 2.1 generated by another solution linearly independent of...
Báo cáo hóa học: " Research Article Cauchy-Neumann Problem for Second-Order ¨ General Schrodinger Equations in Cylinders with Nonsmooth Bas" potx
... problem depends on the structure of the boundary of the domain, the right
hand side and the dimension n of the space R
n
.
The classical Schr
¨
odinger equation in quantum mechanics has the form
iΔu
x, ... the theorem holds up to l − 1 then we have u ∈
H
l1
0
e
−γt
,Q
∞
. By using analogous arguments in the proof of Lemma 4.4,withnotethat
f
t
s
∈
H
l−s
0
e...
Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
... ≤ G
u
T
P.
2.53
The rest of the proof is similar to that of Theorem 2.8, and the details are omitted. The proof
is completed.
Theorem 2.10. Assume that the function ft, u
0
, ,u
n−1
... discrete analysis. The cases when a time scale is equal to the real numbers or to the
integers represent the classical theories of differential and of difference equations...
Báo cáo hóa học: "Research Article Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions" potx
... Tt, the assumption c
obviously holds.
Acknowledgments
The work was supported by the NSF of China, the Key Project of Chinese Ministry of
Education, the NSF of Jiangxi Province of China, the ... completes the proof.
Remark 2.6. For some general conditions which can ensure that the assumption c in
Theorem 2.5 holds, we refer the reader to 17, Theorem 4.5. In...
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