共查询到20条相似文献,搜索用时 78 毫秒
1.
A. I. Nazarov 《Journal of Mathematical Sciences》2002,112(1):4029-4047
Some problems concerning an exact constant in the generalized Poincare inequality
with
are discussed. In particular, the conjecture that the extremal of this problem is symmetric is confirmed. Bibliography: 7 titles. 相似文献
2.
The set of increments of the Wiener process
, where aT∈(0,T) and LT=(2[log(T/aT)+loglogT])1/2 is considered. Under the assumptionlog(T/aT)/loglogT→c, the set VT oscillates between b
, and
, where b=[c/(c+1)]1/2 and
is the Strassen ball. Bibliography: 9 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 33–41. 相似文献
3.
We consider the Weil elliptic curve E/ℚ and let
be its canonical L-series. Admitting the Birch-Swinnerton-Dyer conjecture and fixing the curve E, a criterion is given for
the finiteness of the group ED(ℚ) for twisted elliptic curves ED, defined by the condition
相似文献
4.
I. N. Kostin 《Journal of Mathematical Sciences》1995,77(3):3195-3198
In this paper the problem of the numerical approximation of the minimal global B-attractor
for a semiflow generated by the Navier-Stokes equations in a two-dimensional bounded domain Ω is considered. The method suggested
here is based on the formula
, where GN is a sequence of compact subsets of L2(Ω),
. The procedure of constructing GN is finite and includes the numerical solution of the Navier-Stokes equations by means of the Galerkin method, together with
an explicit finite-difference discretization in time. Bibliography: 5 titles.
To dear teacher Olga A. Ladyzhenskaya on the occasion of the jubilee
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 91–97.
Translated by V. I. Ochkur. 相似文献
5.
Gensun Fang 《中国科学A辑(英文版)》1998,41(12):1272-1277
The Nikolskii type inequality for cardinal splines
6.
V. D. Lyakhovsky 《Journal of Mathematical Sciences》2008,151(2):2907-2923
New solutions of twist equations for the universal enveloping algebras U (An−1) are found. These solutions can be represented as products of full chains of extended Jordanian twists Abelian factors (“rotations”) , and sets of quasi-Jordanian twists . The latter are generalizations of Jordanian twists (with carrier b2) for special deformed extensions of the Hopf algebra U (b2). The carrier subalgebra for the composition is a nonminimal parabolic subalgebra in A
n−1 such that . The parabolic twisting elements are obtained in an explicit form. Details of the construction are illustrated by considering the examples n = 4 and n = 11.
Bibliography: 21 titles.
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 347, 2007, pp. 187–213. 相似文献
7.
WangJianli ZhouSongping 《分析论及其应用》2003,19(3):280-288
The present paper deals with best onesided approximation rate in Lp spaces ^~En(f)Lp of f∈C2π.Although it is clear that the estimate ^~E(f)Lp≤C‖f‖Lp cannot be correct for all f∈L^p2π in case p<∞, the question whether ~En(f)Lp≤Cω(f,n^-l)Lp or ^~En(f)Lp≤CEn(f)Lp holds for f∈ C2π remains totally untouched.Therefore it forms a basic problem to justify onesided approximation. The present paper will provide an answer to settle down the basis. 相似文献
8.
If f∈Lp[0, 1], let fp be its best Lp-approximant by convex functions. It is shown that if
exists uniformly on closed subintervals of (0,1).
This research was partially supported by Grant No. 020-033-58 from the Faculty Research Committee, Idaho State University. 相似文献
9.
10.
O. L. Vinogradov 《Journal of Mathematical Sciences》1998,92(1):3560-3572
Let C be the space of 2π-periodic continuous real functions with the uniform norm, let Hn be the set of trigonometric polynomials of order not more than n, let ω2(f) be the second continuity modulus for a function f∈C, and let Tn(f) be the best approximation polynomial of order n for f∈C. Set
; U:C→C;
. In this paper, for h sufficiently large we find the values C(U,h) for some positive operators U. For example, C(A0,h) and C(T0,h) are found. For n=1,2,3 we find the values
for some linear positive operators U:C→Hn. We establish relations between C(T0,h) and exact constants in the inequality ω2(f,h1)≤C(h1;h)ω2(f,h) for some h and h1 such that 0<h<h1≤π. For a seminorm P invariant with respect to the shift and majorized by the uniform norm, analogs of C(U,h) are estimated
from above. We investigate the problem of extension of a function defined on a segment with preservation of the second continuity
modulus. The relation
11.
Some new characterizations of the class of positive measures γ onR
n
such thatH
p
l
∉L
p
(γ) are given whereH
p
l
(1<p<∞ 0<l∞) is the space of Bessel potentials This imbed ding as well as the corresponding trace inequality
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