Báo cáo hóa học: "ON SOME TURÁN-TYPE INEQUALITIES" potx
Báo cáo hóa học: " On some Opial-type inequalities" docx
... article
Abstract
In the present paper we establish some new Opial-type inequalities involving higher-
order partial derivatives. Our results in special cases yield some of the recent results
on Opial’s inequality ... paper is to establish
some new Opial-type inequalities involving higher-order part ial derivatives by an exten-
sion of Das’s idea [28]. Our results in special cases yield...
Báo cáo hóa học: "ON SOME TURÁN-TYPE INEQUALITIES" potx
... t
t
e
t
− 1
dt. (2.6)
ON SOME TURÁN-TYPE INEQUALITIES
A. LAFORGIA AND P. NATALINI
Received 14 September 2005; Accepted 20 September 2005
We prove Tur
´
an-type inequalities for some special functions ... Mathematicae 44 (1982), no. 3,
295–301.
[7] A. Laforgia and P. Natalini, Tur
´
an-type inequalities for some special functions, to appear in Journal
of Inequalities in Pure and Appl...
Báo cáo hóa học: " On Friedrichs-type inequalities in domains rarely perforated along the boundary" ppt
... boundary. It is possible to estimate the difference |K
ε
- K
0
|
more precisely in some partial cases. For some particular cases, it is in fact possible to
construct an asymptotic expansion for ... equation in a domain perforated along
the boundary. Russ Math Surv. 45(4), 123 (1990)
8. Sobolev, SL: Some applications of functional analysis in mathematical physics. Translations of Mathema...
Báo cáo hóa học: " ON SOME BANACH SPACE CONSTANTS ARISING IN NONLINEAR FIXED POINT AND EIGENVALUE THEORY" doc
... P
k
x
≤ C(φ)φ(A)(A ⊂ X bounded) (4.16)
for some C(φ) > 0. Some estimates, or even explicit formulas, for the minimal constant
C(φ) in some important Banach spaces may be found in [2,Chapter2].
318 ... com-
pact.
Suppose that g(x) = λx for some λ>0andx ∈ S(
2
). Writing this out in components
means that −µ
k
ξ
k
=−µ
k
ξ
k
+(1−x)µ
k
= λξ
k
for all k,henceλ =−µ
k
for some...
Báo cáo hóa học: "ON MULTIPLE HARDY-HILBERT INTEGRAL INEQUALITIES WITH SOME PARAMETERS'''' pdf
... MULTIPLE HARDY-HILBERT INTEGRAL INEQUALITIES
WITH SOME PARAMETERS
HONG YONG
Received 19 April 2006; Revised 30 May 2006; Accepted 5 June 2006
By introducing some parameters and norm
x
α
(x ∈ R
n
), ... K<K
1
.Hencetheconstantfactorin(3.20)isthebest
possible.
Since (3.21)and(3.20) are equivalent, the constant factor in (3.21)isalsothebest
possible.
4. Some corollaries
Corollary 4....
báo cáo hóa học:" Research Article New Inequalities and Uncertainty Relations on Linear Canonical Transform Revisit" pdf
... Advances in Signal Processing
see [9, 23–27] and so forth. We now briefly review its
definition and some basic properties.
For given function f (t)
∈ L
1
(R)∩L
2
(R)andf (t)
2
= 1
(in this article ... 359–367, 2007.
[21] A. Stern, “Uncertainty principles in linear canonical transform
domains and some of their implications in optics,” Journal of
the Optical Society of America A, vol. 25, n...
Báo cáo hóa học: "ON WEIGHTED INEQUALITIES FOR PARAMETRIC MARCINKIEWICZ INTEGRALS" potx
... (0,∞),
(b) Γ is strictly increasing, Γ(2t)
≥ ηΓ(t)forsomefixedη>1andΓ(2t) ≤ cΓ(t)for
some constant c
≥ η>1.
(c) Γ
(t) ≥ αΓ(t)/t on (0,∞)forsomefixedα ∈ (0,log
2
c]andΓ
(t) is monotone on
(0,
∞).
Definit ... (0,∞),
(b
) Γ is strictly decreasing, Γ(t) ≥ ηΓ(2t)forsomefixedη>1andΓ(t) ≤ cΓ(2t)for
some constant c
≥ η>1.
(c
) |Γ
(t)|≥αΓ(t)/t on (0,∞)forsomefixedα ∈ (0, log
2
c]a...
Báo cáo hóa học: " Research Article New Inequalities on Fractal Analysis and Their Applications" doc
... the fractal
dimensions Dim and
δ can be derived from M
∗s
and M
s
∗
, respectively. Moreover, some
inequalities about the dimension of product sets and product measures are obtained.
Copyright ... ≤
δ(μ × ν) ≤
δ(μ)+Dim(ν) ≤ Dim(μ × ν) ≤ Dim(μ)+Dim(ν). (1.6)
2. Background
Let us first recall some basic properties of Hausdorff measure, Hausdorff dimension,
packing measure, packing dimens...
Báo cáo hóa học: " ON THE STUDY OF A CLASS OF VARIATIONAL INEQUALITIES VIA LERAY-SCHAUDER DEGREE" pot
... problem (1.3), we
prove several new results guaranteeing the existence of solutions (see Section 3). Some
location information on the solution set of problem (1.3) is also available through our
results, ... problem (1.3) and hypothesis (H2).
The rest of the paper is organized as follows. Section 2 contains some preliminary
results to set up our topological degree framework. Section 3 is d...
báo cáo hóa học:"On quotients and differences of hypergeometric functions" pptx
... = (1−x)
c−a−b
F (c−a, c−b; c; x), c < a+b.
Some basic properties of this series may be found in standard handbooks, see for ex-
ample [1]. For some rational triples (a, b, c), the functions ... complete answer to an open question posed in [2].
2. Preliminary results
In this section, we recall some well-known properties of the Gaussian hypergeometric
function F(a, b; c; x) and certain...
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