spline approximation for cauchy principal value integrals
Báo cáo hoa học: " Research Article An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear " doc
Ngày tải lên :
21/06/2014, 20:20
... Corporation
Boundary Value Problems
Volume 2009, Article ID 103867, 34 pages
doi:10.1155/2009/103867
Research Article
An Approximation Approach to Eigenvalue
Intervals for Singular Boundary Value Problems
with ... λ
1
0
G
t, s
h
2
s, ω
n
v
ds for v ∈ C
0, 1
,t∈
0, 1
.
2.132
Boundary Value Problems 5
Then the eigenvalues are
τ
m
mπ
2
for m 1, 2,
, 2.2
and the corresponding ... ωtlim
n →∞
ω
n
t for t ∈ 0, 1, then
ω ∈ C
0, 1
,ω
t
> 0 for t ∈
0, 1
,
−ω
t
ψ
t, ω
t
for t ∈
0, 1
,
ω
0
ω
1
0.
2.15
Boundary Value Problems 23
Let...
34
348
0
Tài liệu Creating a Sustainable Organization: Approaches for Enhancing Corporate Value Through Sustainability pdf
Ngày tải lên :
19/02/2014, 21:20
... ordered in quantity for bulk purchases
or special sales. For more information, please contact U.S. Corporate and Government Sales,
1-800-382-3419, corpsales@pearsontechgroup.com. For sales outside ... impli-
cations for professionals in the relevant fields, for corporate leaders,
and, in due course, for policymakers, regulators, and the educated
general public. The book will have particular import for ... an informative,
comprehensive look at many foundational issues for the emerging field of
sustainable business management.”
—Carol Singer Neuvelt, Executive Director, National Association for...
433
1.1K
0
Tài liệu Báo cáo khoa học: "Generalized Hebbian Algorithm for Incremental Singular Value Decomposition in Natural Language Processing" potx
Ngày tải lên :
22/02/2014, 02:20
... singular value. Recall that in
(Weng et al., 2003) the eigenvalue is calcula-
ble as the average magnitude of the training
update c. In our formulation, according to
17 and 18, the singular value ... never cover all the things
that might reasonably be said. Language is
often too rich for the task being performed;
for example it can be difficult to establish that
two documents are d iscussing the ... creat-
ing a need for techniques which compensate
for this.
Imagine we have a set of data stored as a
matrix. Techniques based on eigen decomposi-
tion allow such a matrix to be transformed into
a...
8
362
0
Báo cáo khoa học: "Parametric Types for Typed Attribute-Value Logic" pptx
Ngày tải lên :
08/03/2014, 05:21
... exactly the same structure of informa-
tion states; but an implementor of a feature-
based NLP system, for example, could secretly
perform all of the work for those grammars in
N, and no ...
metric type into a non-parametric sub-hierarchy
that suffices for a fixed grammar (e.g. Figure 2).
The former does not suffice even for fixed gram-
el~t_phon
list_syn~~~elist
list
Figure 2: ... indicate
feature names; p, q, and r for names of parametric types;
and g to indicate ground instances of parametric types,
1028
Parametric Types for Typed Attribute -Value Logic
Gerald
Penn
Universit~t...
7
421
0
Báo cáo khoa học: "Efficient Tree-based Approximation for Entailment Graph Learning" doc
Ngày tải lên :
16/03/2014, 19:20
... curve.
Maximal F
1
on the curve is .43 for Exact-graph, .41 for
TNF, and .34 for No-trans. AUC in the recall range 0-0.5
is .32 for Exact-graph, .31 for TNF, and .26 for No-trans.
Run-time of LP-relax ... this section we present Tree-Node-Fix, an efficient
approximation algorithm for Max-Trans-Forest, as
well as Graph-Node-Fix, an approximation for Max-
Trans-Graph.
4.1 Tree-Node-Fix
The scheme ... exactly solving Max-Trans-Graph and
Max-Trans-Forest (with an ILP solver) results in
nearly identical performance.
An ILP formulation for Max-Trans-Forest is sim-
ple – a transitive graph is an...
9
263
0
Spline Methods for Extracting Interest Rate Curves from Coupon Bond Prices docx
Ngày tải lên :
22/03/2014, 17:20
... (1995) for a rigorous definition of
the effective number of parameters.
13
tool for determining the appropriate range for the level of the roughness penalty, but it can
produce extreme values for ... smoothness of a cubic spline. McCulloch used regression splines for this purpose,
and Fisher, Nychka, and Zervos used smoothed splines. We propose using a modification of the
smoothed spline.
2
See ... techniques for using this model to obtain
estimates of interest rate curves.
Section 3: Curve Extraction and Cubic Splines
All of our extraction methods use cubic splines as the functional form for...
23
353
0
báo cáo hóa học: " Existence and iterative approximation for generalized equilibrium problems for a countable family of nonexpansive mappings in banach spaces" pdf
Ngày tải lên :
21/06/2014, 02:20
... (A1)-(A4), where
(A1) f(x, x)= 0for all x ẻ C;
(A2) f is monotone, i.e. f(x, y)+f(y, x) ≤ 0 for all x, y ẻ C;
(A3) for all y ẻ C, f(., y) is weakly upper semicontinuous;
(A4) for all x ẻ C, f(x,.) is ... to be strictly convex if for any x, y ẻ U,
x =
y
implies |x +
y
|| < 2
.
It is also said to be uniformly convex if for each ẻ (0, 2], there exists >0such
that for any x, y ẻ U,
||x y|| ... smooth, then
J is single-valued and if E is uniformly smooth, then J is uniformly norm-to-norm con-
tinuous on bounded subsets of E. We s hall still denote by J the single-valued duality
mapping....
12
372
0
Báo cáo hóa học: " Research Article On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition" doc
Ngày tải lên :
21/06/2014, 05:20
... which discussions were for boundary
value problems of ordinary differential equation. This paper studies the existence of solutions
for the nonlinear two-point dynamic boundary value problem on time ... boundary value problems on time scales,” Applied
Mathematics Letters, vol. 13, no. 4, pp. 7–11, 2000.
7 F. M. Atici and G. S. Guseinov, “On Green’s functions and positive solutions for boundary value
problems ... on time
scales,” Boundary Value Problems, vol. 2011, Article ID 198598, 15 pages, 2011.
12 J. Henderson, “Multiple solutions for 2m order Sturm-Liouville boundary value problems on a
measure...
9
410
0
Báo cáo hóa học: " Research Article Positive Solutions for Integral Boundary Value Problem with φ-Laplacian Operator Yonghong Ding" pdf
Ngày tải lên :
21/06/2014, 05:20
... positive solutions
for two above cases received wide attention see 3–10. For example, Ji and Ge 4 studied
the multiplicity of positive solutions for the multipoint boundary value problem
φ
p
u
t
... uniformly bounded and equicontinuous. So we have that TD is compact on
C0, 1.From2.13,weknowfor∀ε>0, ∃κ>0, such that when |t
1
− t
2
| <κ, we have
Boundary Value Problems 9
Next, for ... Boundary Value Problems 7
a nonnegative continuous functional on K satisfying ψλu ≤ λψu for 0 ≤ λ ≤ 1, such that for
positive number M and d,
α
u
≤ ψ
u
, u≤Mγ
u
2.19
for all...
15
277
0
Báo cáo hóa học: " Research Article Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces" ppt
Ngày tải lên :
21/06/2014, 11:20
... fixed point theorems for single-valued nonexpansive
mappings have already been extended to multivalued mappings.
In 1968, Markin 1 firstly established the nonexpansive multivalued convergence
results ... of a uniformly
convex Banach space E and T : K → CE a multivalued nonexpansive mapping. Then T has a fixed
point.
In 1990, Kirk and Massa 4 obtained another important result for multivalued
nonexpansive ... Jr., “Multi-valued contraction mappings,” Pacific Journal of Mathematics, vol. 30, pp. 475–
488, 1969.
3 T. C. Lim, “A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex
Banach...
8
198
0
Báo cáo hóa học: " Research Article Existence of Positive Solutions for Multipoint Boundary Value Problem with p-Laplacian on Time Scales" ppt
Ngày tải lên :
21/06/2014, 20:20
... epidemic models 2–6, and so forth. At the
same time, motivated by the wide application of boundary value problems in physical and
applied mathematics, boundary value problems for dynamic equations ... “Positive solutions for second-order m-point boundary value problems on
time scales,” Acta Mathematica Sinica, vol. 22, no. 6, pp. 1797–1804, 2006.
11 H. R. Sun, Boundary value problems for dynamic ... boundary value
problems for p-Laplacian dynamic equations on time scales,” Advances in Difference Equations, vol.
2008, Article ID 496078, 9 pages, 2008.
16 C. Song, “Eigenvalue problems for p-Laplacian...
18
236
0
Báo cáo hoa học: " Research Article Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales" pot
Ngày tải lên :
21/06/2014, 20:20
... 2.2. Define the forward backward jump operator σt at t for t<sup Tρt at t
for t>inf T by
σ
t
inf
{
τ>t: τ ∈ T
}
ρ
t
sup
{
τ<t: τ ∈ T
}
2.1
for all t ∈ T. ... Conditions for
the Existence of Positive Solution for
Singular Boundary Value Problems on Time Scales
Meiqiang Feng,
1
Xuemei Zhang,
2, 3
Xianggui Li,
1
and Weigao Ge
3
1
School of Science, Beijing Information ... C reative Platform Foundation of Beijing Municipal Commission
of Education PXM2008-014224-067420.
References
1 D. R. Anderson, “Eigenvalue intervals for a two-point boundary value problem...
14
394
0
Báo cáo hóa học: "GEOMETRIC AND APPROXIMATION PROPERTIES OF SOME SINGULAR INTEGRALS IN THE UNIT DISK" doc
Ngày tải lên :
22/06/2014, 21:20
... (0) = 0, f
(0) = 1}. Therefore, if f ∈ A(D), we have
f (z)
= z +
∞
k=2
a
k
z
k
,forallz ∈ D.
For f
∈ A(D)andξ ∈ R, ξ>0, let us consider the complex singular integrals
P
ξ
( f )(z) =
1
2ξ
+∞
−∞
f
ze
iu
e
−|u|/ξ
du, ... univalent
in
{|z| < 2/eM},forallξ ∈ (0,1].
4. Complex Gauss-Weierstrass integrals
In this section, we study the complex integrals W
ξ
( f )(z)andW
∗
ξ
( f )(z).
Concerning the approximation properties, ... similar properties for the above-defined complex
singular integrals.
2. Complex Picard integrals
In this section, we study the properties of P
ξ
( f )(z).
Firstly, we present the approximation properties.
Theorem...
19
286
0
Báo cáo hóa học: "COINCIDENCE POINT AND INVARIANT APPROXIMATION FOR MAPPINGS SATISFYING GENERALIZED WEAK CONTRACTIVE CONDITION" pot
Ngày tải lên :
22/06/2014, 22:20
... 7–22.
[3]I.BegandM.Abbas,Fixed points and best approximation in Manger convex metric spaces,
Archivum Mathematicum 41 (2005), 389–397.
[4]
, Fixed-point theorems for weakly inward multivalued maps on a convex metric ... point and invariant approximation
for all x
∈ X.Defineφ :[0,∞) → [0,∞)as
φ(x)
=
1
c
x. (2.8)
As
d( fx, fy)
− φ
d( fx, fy)
=
(c − 1)|x − y|
≥
a|x − y|=d(Tx,Ty),
(2.9)
therefore T is a weakly ... f
x
n+N+1
≤
d
f
x
n
, f
x
n+1
−
Nφ(l), (2.3)
which is a contradiction for N large enough. Therefore, lim
n→∞
d( f (x
n
), f (x
n+1
)) = 0.
Furthermore, for m>n
d
f
x
n
, f
x
m
≤
d
f
x
n
,...
7
215
0
Báo cáo hóa học: "EXISTENCE RESULTS FOR φ-LAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES" potx
Ngày tải lên :
22/06/2014, 22:20
... solutions.
This study has been continued in [5]fornth-order periodic boundary value problems, in
[11] for antiperiodic dynamic equations, and in [ 1] for second-order dynamic equations
with dependence ... results for nth order periodic boundary value
difference equations, Journal of Mathematical Analysis and Applications 247 (2000), no. 1, 67–
86.
[8]
, Existence and comparison results for difference ... sequence
τ
n
+
t
a
f
s, p
σ(s),u
σ
n
(s)
Δs
(2.27)
is uniform on
T.
Now, by using the uniform continuity of φ
−1
on compact intervals, we conclude that
Tu
n
−→ Tu uniformly on T. (2.28)
Now we are going to prove...
11
269
0
Xem thêm