... proved (3.14).
2 Mean summability of Fourier trigonometric series
The problem of mean summability by linear methods of multiple Fourier trigonomet-
ric series in L
p
w
(T) in the frame of A
p
classes ... function of two variables.
In this section our goal is to prove the following result and some its converse.
ON THE MEAN SUMMABILITY BY CESAR...
... result in improved motor
function together with the decreased risk of secondary
health problems. Yet this is labour intensive. Further-
more, patients often find the training uninteresting, tiring
and ... lesion or state
of the disease. I refer readers to the individual papers in
this thematic series of JNER for an insightful and thor-
ough account of the basis for the...
... in cats as well as
in humans. However, the main goal of these studies was
to identify the onset (and offset) of a specific neural activ-
ity, with the aim of triggering stimulation. The aim of ... used.
Since there is no standard way to define the appropriate
topology of a neural network nor the number of neurons,
the parameters were determined by means of it...
... suppressing the production of
proinflammatory cytokines and, thereby, restoring the
normal astroglial glutamate uptake. In this context, xan-
thine derivatives may be of use [74]. Another substance,
worth ...
lead to inhibition of the brain stem nuclei locus coeruleus
(LC) and raphe nuclei and thereby inhibit noradrenaline (NA)
and serotonin (5-HT) release in the cerebral...
... concentrations of melanin
in dark-skinned individuals shield the keratinocytes from
the ultraviolet radiation required to generate vitamin D in
skin [38]. In addition, the production of vitamin D in skin
diminishes ... in the immediate vicinity of the
site of the microbial breach [28-30]. In addition, catheli-
cidin plays a role in epithelial repair by trig...
... improves the signal-
to-noise ratio in the baseband by 7.4 dB, effectively suppressing the impulsive component of the noise and
reducing the noise peakedness to 2.4 dBc. By comparing the black lines in ... It can be seen in the figure that (i) the onsets of the power pulses originate at the discontinuities in
the second derivative of the modulating sign...
... targeting the
pathway of interest, the genomic/pro teomic profile of
the tumour, the histological subtype, the molecular
activation of the target pathway, the type of tissue used
for screening ... contributions
BT synthesized the information from the meeting, and designed and wrote
the manuscript. TS synthesized information from the meeting, and facilitated
in...
... other hand, since all the zeros of p(z) lie in |z| ≤ k, therefore by applying
Lemma 2.1, all the zeros of
D
α
1
p(z)
lie in |z| ≤ k, then using Lemma 2.5 for the poly-
nomial
D
α
1
p(z)
of degree ... divide both sides of the above inequality in (1.10) by |a|andmake|a| ® ∞,
we obtain a result proved by Govil [8].
2. Lemmas
For proof of the theorem, the followi...
... satisfying (1). The continuation of proof depend on the dimension
of H. In fact, if H is infinite dimensional, since
(e
n
⊗ F)(x)=
F( x ), e
n
→ 0
Rezaei and Sharifzadeh Journal of Inequalities ... e
n
e
n
=
N
n=1
exp(A
n
(x)+a
n
(x))e
n
.
In the case that H is of finite dimensional type, the proof is clear.
In the followin g theorem, we generalize the well-k...
... all x Î X. Hence inequality (3.4) holds for all n Î N.
The proof of the case |r| < 2 is similar to the above proof. □
In the following theorem we find that for some conditions there exists a ... using alternative fixed point
In this section, we will investigate the stability of the given quadratic functional equa-
tion (3.1) using alternative fixed point. Before proceed...