共查询到20条相似文献,搜索用时 62 毫秒
1.
2.
М. Г. Григорян 《Analysis Mathematica》1985,11(3):201-216
, . . Q
k
[0,2],k=1,2, — . F(x, y)L(T), T=[0, 2]2, G(x, y)L(T) , G(x,y)=F(x,y) Q=Q
1
×Q
2
- . 相似文献
3.
V. G. Doronin 《Mathematical Notes》1971,10(6):799-806
This considers the question of the best one-sided approximation of certain classes of continuous periodic functions by means of trigonometric polynomials of order n-1 in the metric L
2
p
(1p<). Precise upper bounds are obtained for the best one-sided approximation of classes of 2/n-periodic functions H,n [having arbitrary prescribed modulus of continuity (t)] in the metric L
2
p
, as well as of classes of 2-periodic functions H [having prescribed modulus of continuity (t) with definite limits] in the metric L
2
1
.Translated from Matematicheskie Zametki, Vol. 10, No. 6, pp. 615–626, December, 1971.The author warmly thanks N. P. Korneichuk for his constant attention to this work. 相似文献
4.
Gonchar V. Yu. Tanatarov L. V. Chechkin A. V. 《Theoretical and Mathematical Physics》2002,131(1):582-594
The properties of stationary solutions of the one-dimensional fractional Einstein--Smoluchowski equation with a potential of the form x
2m+2, m=1,2,..., and of the Riesz spatial fractional derivative of order , 12, are studied analytically and numerically. We show that for 1<2, the stationary distribution functions have power-law asymptotic approximations decreasing as x
–(+2m+1) for large values of the argument. We also show that these distributions are bimodal. 相似文献
5.
{p
mn
} -
00>0, (1, 1) (1.1) (1.2). {s
mn
} J
p
- ( bJ
p
-lims
mn
=), (1.3) 0<x,y<1 p
s
(, )/p(x, y) x, y 1-. {r
mn
} - , (1.5) 0<, <1. N
rp
- , (1.6). , bJ
p
-lims
mn
= bJ
q
-lim(N
rps)
mn
=. J
p
- . , . 相似文献
6.
Jeroen Bruggeman Breanndán Ó Nualláin 《Computational & Mathematical Organization Theory》2000,6(2):161-170
Niche width theory, a part of organizational ecology, predicts whether specialist or generalist forms of organizations have higher fitness, in a continually changing environment. To this end, niche width theory uses a mathematical model borrowed from biology. In this paper, we first loosen the specialist-generalist dichotomy, so that we can predict the optimal degree of specialization. Second, we generalize the model to a larger class of environmental conditions, on the basis of the model's underlying assumptions. Third, we criticize the way the biological model is treated in sociological theory. Two of the model's dimensions seem to be confused, i.e., that of trait and environment; the predicted optimal specialization is a property of individual organizations, not of populations; and, the distinction between fine and coarse grained environments is superfluous. 相似文献
7.
We obtain a new unimprovable Kolmogorov-type inequality for differentiable 2-periodic functions x with bounded variation of the derivative x, namely
where q (0, ), p [1, ], and = min{1/2, p/q(p + 1)}. 相似文献
8.
Paolo Caldiroli Giulia Treu 《NoDEA : Nonlinear Differential Equations and Applications》1996,3(4):499-507
We study uniqueness property for the Cauchy problemxV(x), x(0)=, whereVR
nR is a locally Lipschitz continuous, quasiconvex function (i.e. the sublevel sets {Vc} are convex) and V(x) is the generalized gradient ofV atx. We prove that if 0V(x) forV(x)b, then the set of initial data {V=b} yielding non uniqueness of solution in a geometric sense has (n–1)-dimensional Hausdorff measure zero in {V=b}. 相似文献
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The purpose of this paper is to study singularities of the Bergman kernel at the boundary for pseudoconvex domains of finite type from the viewpoint of the theory of singularities. Under some assumptions on a domain in
n+1
, the Bergman kernel B(z) of takes the form near a boundary point p:
where (w,) is some polar coordinates on a nontangential cone with apex at p and means the distance from the boundary. Here admits some asymptotic expansion with respect to the variables 1/
m
and log(1/) as 0 on . The values of d
F
>0, m
F
+ and m are determined by geometrical properties of the Newton polyhedron of defining functions of domains and the limit of as 0 on is a positive constant depending only on the Newton principal part of the defining function. Analogous results are obtained in the case of the Szegö kernel.
Mathematics Subject Classification (2000):32A25, 32A36, 32T25, 14M25. 相似文献
11.
K. Koncz 《Analysis Mathematica》1987,13(1):75-91
, (1). 3, , ()=, (8) (16). [1], . (28) (31) ( 5), - (. [3]).
The author thanks Professor M.Arató for having pointed out this problem, and for his valuable suggestions. 相似文献
The author thanks Professor M.Arató for having pointed out this problem, and for his valuable suggestions. 相似文献
12.
Manabu Naito 《Czechoslovak Mathematical Journal》1998,48(3):419-432
The neutral differential equation
is considered under the following conditions: n 2, > 0, = ±1, F(t, u) is nonnegative on [t
0, ) × (0, ) and is nondecreasing in u (0, infin;), and lim g(t) = as t . It is shown that equation (1.1) has a solution x(t) such that
0}}{\text{.}} \hfill \\ \end{gathered} $$
" align="middle" border="0">
Here, k is an integer with 0 k n–1. To prove the existence of a solution x(t) satisfying (1.2), the Schauder-Tychonoff fixed point theorem is used. 相似文献
13.
Let X be a Banach space with a countable unconditional basis (e.g., X=2), X open. We show that is pseudoconvex if and only if for each affine complex line L in X the sheaf cohomology group H
1
(,I) vanishes, where I is the ideal sheaf of all holomorphic functions on that vanish on L. We also give an example that the condition H
q
(,)=0 for all q1 unlike in finite dimensions does not imply the pseudoconvexity of . Lastly, we prove an interpolation result.
Mathematics Subject Classification (2002): 32T05, 46G20. 相似文献
14.
Wayne G. Sullivan 《Probability Theory and Related Fields》1984,67(4):387-398
Summary Let D denote the generator of a continuous time positive recurrent Markov process with state space N (or R
+). Sufficient conditions are given to imply the existence of >0 such that if 0 is a point of the spectrum of D considered as an operator on the L
2 space of the equilibrium distribution, then Re()–. A related result is given for discrete time Markov chains. 相似文献
15.
Carl-Erik Fröberg 《BIT Numerical Mathematics》1966,6(3):191-211
We define the Möbius power series throughf(z)=
n-1
z
n
,g(z)=
n=1
(n)z
n
/n where (n) is the usual Möbius function. This paper presents some heuristic estimates describing the behavior off(z) andg(z) when |z| is close to 1 together with representations in terms of elementary functions for real values ofz. Function tables are also given together with zeros and a few other special values. 相似文献
16.
Paolo Lipparini 《Archive for Mathematical Logic》1996,35(2):63-87
We develop a method for extending results about ultrafilters into a more general setting. In this paper we shall be mainly concerned with applications to cardinality logics. For example, assumingV=L, Gödel's Axiom of Constructibility, we prove that if > then the logic with the quantifier there exist many is (,)-compact if and only if either is weakly compact or is singular of cofinality<. As a corollary, for every infinite cardinals and , there exists a (,)-compact non-(,)-compact logic if and only if either < orcf<cf or < is weakly compact.Counterexamples are given showing that the above statements may fail, ifV=L is not assumed.However, without special assumptions, analogous results are obtained for the stronger notion of [,]-compactness. 相似文献
17.
18.
Every translation invariant positive definite Hermitian bilinear functional on the Gel'fand-Shilov space sMpMp(n×nK) of general type S is of the form B(,) = (x)(x)d(x), , sMpMp (n), where is a positive {M}-tempered measure, i.e., for every > 0 exp[-M(|x|)] d(x) < . To prove this we prove Schwartz kernel theorem for {M}-tempered ultradistributions and need Bochner-Schwartz theorem for {M}-tempered ultradistributions. Our result includes most of the quasianalytic cases. Also, we obtain parallel results for the case of Beurling type (Mp. 相似文献
19.
The Cauchy Problem for the equation utt–u+|u|p–1u=0 (x2, t>0, >1) is studied. Smooth Cauchy data is prescribed, and no smallness condition is imposed. For >5, it is shown that the maximum amplitude of such a wave decays at the expected rate t–1/2 as t. For 1+8<5, the maximum amplitude still decays, but at a slower rate. These results are then used to demonstrate the existence of the scattering operator when >o, where o is the root of the cubic equation 3-22-7-8=0; thus o4.15.Alfred P. Sloan Research Fellow 相似文献
20.
H. Kita 《Acta Mathematica Hungarica》1998,81(3):175-193
Let and be positive increasing convex functions defined on [0, ). Suppose satisfies the 2-condition, that is, (t)2 (C1t) for sufficiently large t, and has some nice properties. If -1(u)log(u+1) C2-1(u) for sufficiently large uthen we have S*(f) L CfL for all f L ([-, ])where S*(f) is the majorant function of partial sums of trigonometric Fourier series and fL is the Orlicz norm of f. This result is sharp. 相似文献