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851.
Ivan Č. Jovanović Eberhard Malkowsky Vladimir Rakočević 《Rendiconti del Circolo Matematico di Palermo》2003,52(2):308-314
LetF be aBK space withAK and
denote the set of all formal power series
with
such that
ε F for the sequence of coefficients of
. We give a necessary and sufficient condition for a point to be a bounded point evaluation on
, and for a polynomial to be cyclic in
. As special cases, we obtain the results for the space ℓ
p
(β) in [7].
Research of the authors supported under the research project #1232 of the Serbian Ministry of Sciences and Tecnology and,
in the case of the second author, also by the DAAD foundation (German Academic Exchange Service), grant 911 103 102 8. 相似文献
852.
Drevensek Olenik I Kocevar K Musevic I Rasing T 《The European physical journal. E, Soft matter》2003,11(2):169-175
Brewster-angle reflection ellipsometry and surface optical
second harmonic generation were used to study the growth of
4'-n-octyl-4-cyanobiphenyl
(8CB) films evaporated in air onto polymeric and quartz glass
substrates. The layer-by-layer growth of the films terminates
after formation of two distinctive interfacial layers. Both of
these two layers are polar and tilted. In the first layer the
molecules lie nearly flat on the surface, while in the second
layer they point on average about 50° toward the surface normal.
The dipole moment of the second layer has a lower magnitude and
an opposite direction with respect to the dipole moment of the
first layer. 相似文献
853.
Ana-Maria Matache Tomáš Roubíček Christoph Schwab 《Advances in Computational Mathematics》2003,19(1-3):73-97
The general theory of approximation of (possibly generalized) Young measures is presented, and concrete cases are investigated. An adjoint-operator approach, combined with quasi-interpolation of test integrands, is systematically used. Applicability is demonstrated on an optimal control problem for an elliptic system, together with one-dimensional illustrative calculations of various options. 相似文献
854.
Some improvements and generalizations of Finks results about Hadamards inequality for log-concave functions are given.AMS Subject Classification: 26D07, 26D15, 26A51. 相似文献
855.
Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings having lattice ordered positive cones is described. Moreover, lexicographic products of weakly associative lattice groups are also studied here. 相似文献
856.
The construction of the sum of a direct (semilattice ordered) system of algebras introduced by J. Plonka – later known as the Plonka sum – is one of the most important methods of composition in universal algebra, having a number of applications in different algebraic theories, such as semigroup theory, semiring theory, etc. In this paper we present a more general way for constructing algebras with involution, that is, algebraic systems equipped with a unary involutorial operation which is at the same time an antiautomorphism of the underlying algebra. It is the sum – involutorial Plonka sum, as we call it – of an involution semilattice ordered system of algebras. We investigate its basic properties, as well as the problem of its subdirect decomposition. 相似文献
857.
A. Laurinčikas 《Acta Appl Math》2003,78(1-3):251-271
The first part of the paper contains a survey on the universality of zeta-functions. Zeta-functions with Euler's product as well as zeta-functions without Euler's product are discussed. Also, the joint universality theorems are considered. In the second part of the paper the universality of zeta-functions of finite Abelian groups of rank 3 is proved. 相似文献
858.
Let V
n
–1
n
be the adaptive process of self-normalized partial sums S
k
of independent random variables X
i
, defined by linear interpolation between the points (V
k
2/V
n
2,S
k
/V
n
), kn, where V
k
2=
ik
X
i
2. We prove that if the X
k
's are symmetric, V
n
–1
n
converges weakly to the Brownian motion W in each Hölder space supporting W
if and only if
V
n
–1 max
kn
|X
k
|=o
P
(1). We give some partial extension to the non symmetric case. 相似文献
859.
Marián Slodička 《Applications of Mathematics》2003,48(1):49-66
In this paper, we consider a 2nd order semilinear parabolic initial boundary value problem (IBVP) on a bounded domain N, with nonstandard boundary conditions (BCs). More precisely, at some part of the boundary we impose a Neumann BC containing an unknown additive space-constant (t), accompanied with a nonlocal (integral) Dirichlet side condition.We design a numerical scheme for the approximation of a weak solution to the IBVP and derive error estimates for the approximation of the solution u and also of the unknown function . 相似文献
860.
In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved. 相似文献