共查询到20条相似文献,搜索用时 15 毫秒
1.
D. V. Gorbachev 《Mathematical Notes》1997,61(4):430-439
For a functional on the classH
ω
(n)
,n≥3, we construct the extremal function on which the upper bound obtained by A. I. Stepanets is attained.
Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 519–529, April, 1997.
Translated by N. K. Kulman 相似文献
2.
G. G. Amanzhaev 《Mathematical Notes》1998,64(5):557-561
For discrete analogs of classes of functions of finite smoothness, we study the quantity log Approx characterizing the minimal
necessary length of tables that allow us to reconstruct functions from these classes with error not exceeding 1 in the metric
of the spaceL
p
.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 643–647, November, 1998.
The author wishes to express his gratitude to his scientific adviser O. B. Lupanov for setting the problem and attention to
the author's work.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01068. 相似文献
3.
Nguyen Xuan Thao 《Mathematical Notes》2000,67(5):625-630
In the present paper we construct a basis analog of theH-function of several variables with the kernel depending on the products ofq-gamma functions, including, for example, theH-function and theG-function ofn variables. We obtain a sufficient condition for the convergence of the basis analog of theH-function ofn variables, integral representations, and contiguous relations.
Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 738–744, May, 2000. 相似文献
4.
A. I. Galochkin 《Mathematical Notes》1997,61(6):687-692
We prove two theorems about the number of zeros of analytic functions from certain classes that include the SiegelE-andG-functions. By using these theorems, we arrive at a new proof of the Gel'fond-Schneider theorem and improve the result that the numerical
determinant does not vanish in the proof of the Shidlovskii theorem.
Translated fromMatematicheskie Zametki, Vol. 61, No. 6, pp. 817–824, June, 1997.
Translated by M. A. Shishkova 相似文献
5.
M. -B. A. Babaev 《Mathematical Notes》1997,62(1):15-29
We study the approximation of functions of several variables by bilinear forms that are the pairwise products of functions
of fewer variables. The order of approximation of Sobolev classesW
q
r
by bilinear forms inL
p
for 2≤q≤p≤∞ is found.
Translated by N. K. Kulman
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 18–34, July, 1997. 相似文献
6.
G. V. Voskresenskaya 《Mathematical Notes》2000,67(2):129-137
In the paper we find the metacyclic groups of the form 〈a, b:a
m=e, b
s=e, b
−1
ab=a
r〉, wherem=3, 4, 5, 7, 11, 23, such that the modular forms associated with all elements of these groups by some faithful representation
are multiplicative η-products.
Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 163–173, February, 2000. 相似文献
7.
V. A. Milman 《Mathematical Notes》1997,61(2):193-200
The problem of the extension of a real-valued function from a subset of a metric space to the entire space is treated. An
extension operator preserving the modulus of continuity of a function is proposed and its properties are studied. An application
to the problem of the trace of a locally Lipschitz function on a compact subset of a metric space is given.
Translated fromMatematicheskie Zametki, Vol. 61, No. 2, pp. 236–245, February, 1997.
Translated by N. K. Kulman 相似文献
8.
V. A. Okulov 《Mathematical Notes》1997,61(5):600-608
Zygmund proved an inequality describing the dependence of the modulus of continuity of the adjoint function on that of the
original function lying in the space of 2π-periodic continuous functions. The present article contains estimates of partial
moduli of continuity of the adjoint function of several variables in the spaceC. Examples show that these estimates are sharp.
Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 717–727, May, 1997.
Translated by A. M. Chebotarev 相似文献
9.
L. V. Taikov 《Mathematical Notes》2000,67(1):108-111
The best one-sided approximation of periodic functions by trigonometric polynomials of classW
p
0
(K) in the metric ofL is obtained.
Translated fromMatematicheskie Zametki, Vol. 67, No. 1, pp. 136–140, January, 2000. 相似文献
10.
S. B. Vakarchuk 《Mathematical Notes》1999,66(4):404-408
We obtain exact values of differentn-widths for certain classes of 2π-periodic functions for which theK-functionals of theirrth-order derivatives are majorized by functions satisfying specified restrictions. We also consider some examples of majorants
satisfying all the restrictions imposed in the present paper.
Translated fromMatematicheskie Zametki, Vol. 66, No. 4, pp. 494–499, October, 1999. 相似文献
11.
S. B. Vakarchuk 《Mathematical Notes》1999,65(2):153-158
We discuss the best linear approximation methods in the Hardy spaceH
q q≥1, for classes of analytic functions studied by N. Ainulloev; these are generalizations (in a certain sense) of function
sets introduced by L. V. Taikov. The exact values of their linear and Gelfandn-widths are obtained. The exact values of the Kolmogorov and Bernsteinn-widths of classes of analytic (in |z|<1) functions whose boundaryK-functionals are majorized by a prescribed functions are also obtained.
Translated fromMatermaticheskie Zametki, Vol. 65, No. 2, pp. 186–193, February, 1999. 相似文献
12.
V. V. Kostin 《Mathematical Notes》2000,68(1):84-89
In this paper new sufficient (necessary and sufficient for martingales of special form) conditions for the martingale closure
from the right in the sense of theA-integral are given. These results follow from the theorem about passing to the limit under theA-integral. The theorem is established using the criterion for transposing iterated limits with respect to the base. It is
shown that the sufficient conditions thus obtained are stronger than those previously known.
Translated fromMatematicheskie Zametki, Vol.68, No. 1, pp. 98–104, July, 2000. 相似文献
13.
L. E. Bazilevich 《Mathematical Notes》1997,62(6):683-687
The hyperspace of all convex bodies of constant width in Euclidean spaceR
n
,n≥2, is proved to be homeomorphic to a contractibleQ-manifold (Q denotes the Hilbert cube). The proof makes use of an explicitly constructed retraction of the entire hyperspace of convex
bodies on the hyperspace of convex bodies of constant width.
Translated fromMaternaticheskie Zametki, Vol. 62, No. 6, pp. 813–819, December, 1997
Translated by V. N. Dubrovsky 相似文献
14.
S. V. Konyagin 《Mathematical Notes》1997,61(4):473-479
We prove that the integral of a sufficiently smooth odd conditionally periodic function with zero mean and incommensurable
frequencies recurs. Furthermore, we obtain the lower and upper bounds for smoothness guaranteeing the recurrence of the integral.
Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 570–577, April, 1997.
Translated by N. K. Kulman 相似文献
15.
The class of layer-projective lattices is singled out. For example, it contains the lattices of subgroups of finite Abelianp-groups, finite modular lattices of centralizers that are indecomposable into a finite sum, and lattices of subspaces of a
finite-dimensional linear space over a finite field that are invariant with respect to a linear operator with zero eigenvalues.
In the class of layer-projective lattices, the notion of type (of a lattice) is naturally introduced and the isomorphism problem
for lattices of the same type is posed. This problem is positively solved for some special types of layer-projective lattices.
The main method is the layer-wise lifting of the coordinates.
Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 170–182, February, 1998. 相似文献
16.
The j-function j(z) = q−1+ 744 + 196884q + ⋅s plays an important role in many problems. In [7], Zagier, presented an interesting series of functions obtained from the
j-function: jm(ζ) = (j(ζ) – 744)∨T0(m), where T0(m) is the usual m′th normalized weight 0 Hecke operator. In [3], Bruinier et al. show how this series of functions can be used to describe
all meromorphic modular forms on SL2(ℤ). In this note we use these functions and basic notions about modular forms to determine previously unidentified congruence
relations between the coefficients of Eisenstein series and the j-function.
2000 Mathematics Subject Classification: Primary–11B50, 11F03, 11F30
The author thanks the National Science Foundation for their generous support. 相似文献
17.
V. A. Sklyarenko 《Mathematical Notes》1999,65(4):500-505
We establish a necessary condition for theSCP-integrability of a function and use it to construct an example of a function possessing a continuousSCP-majorant andSCP-minorant on a closed interval, but nonintegrable over this interval in the sense of theSCP-integral.
Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 599–606, April, 1999. 相似文献
18.
K. V. Navickis 《Lithuanian Mathematical Journal》1999,39(4):408-425
Some intrinsic normalizations of seminonholonomic complexes of then-dimensional projective space are considered.
Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania. Translated from Lietuvos Matematikos Rinkinys, Vol. 39, No. 4,
pp. 517–538, October–December, 1999.
Translated by R. Lapinskas 相似文献
19.
V. A. Krasnov 《Mathematical Notes》1997,62(4):434-438
Here we study relations between homology classes determined by real points of a real algebraicM-surface. We prove new congruences involving the Euler characteristics of the connected components of the set of these real
points.
Translated fromMatematicheskie Zametki, Vol. 62, No. 4, pp. 510–526, October, 1997.
Translated by S. S. Anisov 相似文献
20.
The present paper is devoted to generalizations of the Dieudonné theorem claiming that the convergence of sequences of regular
Borelian measures is preserved under the passage from a system of open subsets of a compact metric space to the class of all
Borelian subsets of this space. The Dieudonné theorem is proved in the case for which the set functions are weakly regular,
nonadditive, defined on an algebra of sets that contains the class of open subsets of an arbitrary σ-topological space, and
take values in a uniform space.
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 103–110, July, 1997.
Translated by O. V. Sipacheva 相似文献