Báo cáo hóa học: " On some Opial-type inequalities" docx
Báo cáo hóa học: " On some Opial-type inequalities" docx
... The
University of Hong Kong, Pokfulam Road, Hong Kong
Zhao and Cheung Journal of Inequalities and Applications 2011, 2011:7
http://www.journalofinequalitiesandapplications.com/content/2011/1/7
Page ... differential equations as well as difference equations
[2-6]. The inequality (1.1 ) has received considerableattention,andalargenumberof
paper s dealing with new proofs, extensions, generalizat...
Báo cáo hóa học: "ON SOME TURÁN-TYPE INEQUALITIES" potx
... and the Tur
´
an inequalities,
Transactions of the American Mathematical Society 296 (1986), no. 2, 521–541.
[2]
´
A. Elbert and A. Laforgia, Some monotonicity properties of the zeros of ultraspherical ... Mathematica Hungarica 48 (1986), no. 1-2, 155–159.
[3]
, Monotonicity results on the zeros of ge n eralized Laguerre polynomials, Journal of Approx-
imation Theory 51 (1987), no. 2, 168...
Báo cáo hóa học: " On Friedrichs-type inequalities in domains rarely perforated along the boundary" ppt
... functions satisfy homogeneous
Neumann boundary conditions on the outer boundary and that they vanish on the
perforation. In particular, it is proved that the best constant in the inequality
converges ... perfora-
tion is “rare”, i.e., the size of the local perforation is much smaller than the period of
perforation.Moreover,weconsiderthecasewherethefunctionssatisfyahomoge-
neous Neumann co...
Báo cáo hóa học: " ON SOME BANACH SPACE CONSTANTS ARISING IN NONLINEAR FIXED POINT AND EIGENVALUE THEORY" doc
... possess an unconditional basis.
The following proposition relates spaces with unconditional bases and spaces with
monotone norm and seems to be of independent interest.
Proposition 4.1. Let X ... infinite-dimensional Banach space one may
find not only fixed point free self-maps of the unit ball, but also retractions of the unit
ball onto its boundary, contractions of the unit sphere, and nonzero...
Báo cáo hóa học: "ON MULTIPLE HARDY-HILBERT INTEGRAL INEQUALITIES WITH SOME PARAMETERS'''' pdf
... (2003), no. 6, 743–750.
Hong Yong: Department of Mathematics, Guangdong University of Business Study,
Guangzhou 510320, China
E-mail address: hongyong59@sohu.com
Hong Yong 5
hence, we have
R
n
+
x
(n−βλ)+p(b−a)
α
f
p
(x) ... = C(constant), a.e. x ∈ R
n
+
, (3.8)
Hong Yong 9
which cont radicts the fact that K<K
1
.Hencetheconstantfactorin(3.20)isthebest
possible.
Since (3.21)and(3.20) a...
báo cáo hóa học:" Research Article New Inequalities and Uncertainty Relations on Linear Canonical Transform Revisit" pdf
... 1997.
[26] S C. Pei and J J. Ding, “Relations between fractional oper-
ations and time-frequency distributions, and their applica-
tions,” IEEE Transactions on Signal Processing, vol. 49, no. 8,
pp. ... representation,” Journal of Mathemati-
cal Physics, vol. 12, no. 8, pp. 1772–1783, 1971.
[24] X. Guanlei, W. Xiaotong, and X. Xiaogang, “Fractional
quaternion fourier transform, convolution...
Báo cáo hóa học: "ON WEIGHTED INEQUALITIES FOR PARAMETRIC MARCINKIEWICZ INTEGRALS" potx
... C
1
function on (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 ... 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]andΓ
(t)ismonotoneon
(0,
∞).
Model functio...
Báo cáo hóa học: " Research Article New Inequalities on Fractal Analysis and Their Applications" doc
... recall some basic properties of Hausdorff measure, Hausdorff dimension,
packing measure, packing dimension, Minkowski contents, box dimensions, and mod-
ified box dimensions.
Let U be a nonempty ... under
the Creative Commons Attribution License, which permits unrestricted use, distribution,
and reproduction in any medium, provided the original work is properly cited.
1. Introduction
Hausdorff...
Báo cáo hóa học: " ON THE STUDY OF A CLASS OF VARIATIONAL INEQUALITIES VIA LERAY-SCHAUDER DEGREE" pot
... the function ϕ is convex and continuous on the whole s pace H, it turns out ϕ is
bounded from below on the bounded subsets of H. Consequently, in conjunction with
assumption (H2), one has that ... existence of solutions (see Section 3). Some
location information on the solution set of problem (1.3) is also available through our
results, for example, criteria to have nontrivial solutio...
báo cáo hóa học:"On quotients and differences of hypergeometric functions" pptx
... y ∈ R
+
.
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On quotients and differences ... Anderson, GD, Vamanamurthy, MK, Vuorinen, M: Conformal Invariants, Inequalities and Quasi-
conformal Maps. John Wiley & Sons, New York (1997)
[5] Ponnusamy, S, Vuorinen, M: Asymptotic exp...