共查询到20条相似文献,搜索用时 46 毫秒
1.
Bloch空间上的Cesaro算子是有界的 总被引:1,自引:0,他引:1
记B={f:f∈H(D),‖f‖B<∞}为Bloch空间,其中‖f‖B=sup |x|<1(1-|z|^2)|f′(z)|,对于f(z)=^∞∑(k-0)akz^k∈B,定义Cesaro算子B为(Bf)(z)=^∞∑(n=0)(1/(n 1) ^n∑(k=0)ak)z^n在这篇文章中,我们将证明如下结果。 相似文献
2.
研究了解析函数与Lipschitz条件,得到了如下两个结果:(i)设D是一平面区域,f(z)在D中解析,00,对任意z∈D有|f′(z)|≤md(z,D)k-1,则f∈Lipk(D)且‖f‖k≤cmk,其中c=c(D)是仅与D有关的常数. 相似文献
3.
Zygmund函数在闭区间上最大值的估计 总被引:1,自引:0,他引:1
对任意实数集 R上的 Zygmund函数 f(x) ,满足条件 :|f(x+t) - 2 f(x) +f(x- t) | ‖ f‖z|t|,x,t∈ R ,且 f(0 ) =f (1 ) =0 ,本文证明maxx∈ [0 ,1 ] |f(x) | 13‖ f‖z. 相似文献
4.
5.
证明了向量值树鞅的若干不等式.主要结果是如下不等式若X同构于q一致凸空间(2≤q<∞),则对每个X值的树鞅f=(ft,t∈T)α≥1和max(α,q)≤β<∞成立‖(S(q)t(f),t∈T)‖
Mα∞≤Cαβ‖f‖ Pαβ‖(σ(p)t(f),t∈T)‖ Mα∞≤Cαβ‖f‖pαβ其中Cαβ是只依赖于α和β的常数. 相似文献
6.
关于Szász-Mirakjan算子 总被引:1,自引:0,他引:1
§1 前言设 C={f∶f∈C[0,∞),存在着 N>0,使得 f(x)=O(x~N)(x→ ∞)}.C~r={f;f~(t)∈C.i=0,1,2,…,r}.Szász-Mirakjan 算子是:S_n(,fx)=(?)f(k/n)P_(nk)(x),P_(nk)(x)=e~(-nx)((nx)~k)/(k!),f∈C设 C_0={f:f∈C[0,∞),(?)(?)类似地定义 C_0~r.在[1]中我们曾证明了:对于C_0 中的函数 f,‖S_n(f)-f‖_c=O(k(f,(?)).若0<α<1,则‖S_n(f)-f‖_e=O(n~(-α)与k(f,t)=O(t~(2α))等价。这里 k(f,t)=inf{‖f-g‖_c t~2‖xg〃‖c‖}.不难类似地证明此结 相似文献
7.
分式线性函数f(x)=(ax b)/(cx d)的n次迭代的计算方法已有很多文章作了讨论,本文介绍一种简便的计算方法,可以很方便地求出fn(x).定理1已知f(x)=(ax b)/(cx d)设f0(x)=x,f1(x)=f(x),fn(x)=f[fn-1(x)](n≥1),a,b,c,d∈R且ad≠bc,c≠0,则fn(x)=(α(qqnn--βppnn))xx ααpβn(-p 相似文献
8.
胡克 《纯粹数学与应用数学》1991,7(2):1-4
1 引言设函数f(z)在单位园|z|≤1内解析。记n(ω)=n(ω),D,f)为f(z)=ω在D内解的个数。若P(R)=1/2π integral from n=0 to 2x(n(Re~(iθ))dθ≤P),则称此函数为D内的平均P叶函数。特别,当P=1时, 相似文献
9.
文[1]给出了不等式:已知x,y,z∈R+,m∈N+.求证:x/mx+y+z+y/x+my+z+z/x+y+mz≤3/m+2.
文[2]给出了不等式:已知xi>0(i=1,2,…n),k<1,求证:
n∑i=1 xi/x1+x2+…+xi-1+kxi+xi+1+…+xn≥n/n+k-1.
文[3]给出了不等式:设ai>0(i=1,2,3,…,n),p∈R,q>0,且n∑i=1ai=A,Si=pai+q(A一ai)>0(i=1,2,…,n),求证: 相似文献
10.
设函数 f ( t)在 [a,b]上连续 ,对任意 x,y∈ [a,b],x≠ y,定义Φ( x,y) =1x -y∫xyf ( t) dt则下面结果成立 :( 1 )若 f( t)是关于 t的单调不减函数 ,则 Φ( x,y)是关于 x和 y的单调不减函数 ;( 2 )若 f″( t)≥ 0 ,则 2 Φ x2 ≥ 0 , 2 Φ x y= 2 Φ y x≥ 0 , 2 Φ y2 ≥ 0 证明 ( 1 ) Φ x=( x -y) f ( x) -∫xyf ( t) dt( x -y) 2 =f ( x) -f (ξ)x -y ≥ 0 ,ξ∈ [x,y]或ξ∈ [y,x]由 x,y的对称性知 Φ y≥ 0 ,因此 Φ( x,y)是关于 x和 y的单调不减函数。( 2 ) 2Φ x2 =( x -y) 2 f′( x) -2 ( x -y) f ( x) +2 ∫xyf ( t) d… 相似文献
11.
A. P. Ushakova 《Journal of Mathematical Sciences》1998,89(5):1582-1589
An estimate of stability of characterization of distribution types is obtained for the case of additive types. Under some
conditions, the estimate has the order ε1/3L(ε), where L(ε) is a slowly varying function.
Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I. 相似文献
12.
Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
13.
本文研究了完全正则半群簇的子簇格[V+∩PV,V+∩PV]的某些格运算性质,我们证明了簇V+∩PV可分解为V与V+∩PV的并;对任意完全正则半群簇W,有W∩(V∨V+∩PV)=(W∩V)∨(W∩V+∩PV).特别地,我们得到了等式V+∩PV=V成立的若干条件. 相似文献
14.
15.
16.
Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
17.
S. V. Kerov 《Journal of Mathematical Sciences》1988,41(2):995-999
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986. 相似文献
18.
S. V. Solov' ev 《Journal of Mathematical Sciences》1982,20(4):2370-2376
In this paper we consider derivations in the (&, )-fragment of the intuitionistic propositional calculus. As is known, replacement of any occurrence of a formula [F] in a sequent S by an occurrence of the formula [p], where p is a new propositional variable, with the simultaneous addition to the antecedent of the formula F p or p F depending on the sign of the occurrence of F in S, leaves the derivability unchanged. We give a proof of the fact that the natural extension of this transformation to derivations preserves the relation of equivalence of derivations, i.e., transformed derivations are equivalent if and only if the originals are equivalent. (Derivations are considered equivalent if certain of their normal forms coincide, or, what is the same, if their deductive terms coincide.) It is proved that by the iteration of this transformation, each derivation of an arbitrary sequent S can be transformed into a derivation of a sequent S, depending only on S, whose succedent is a variable, and in the antecedent there occur only formulas of the form a,a & b, a b,,(a b) c, a & b c, a (b & c), wherea, b, c are variables. Here if S is balanced, then S is also balanced. (A sequent is called balanced if each variable occurs in it no more than twice.) The familiar correspondence between certain concepts of the theory of categories and concepts of the theory of proofs allows one to assert that there has been constructed a univalent functor, mapping a free Cartesian closed category into itself.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 88, pp. 197–207, 1979. 相似文献
19.
20.
B. P. Osilenker 《Mathematical Notes》1969,6(3):621-627
Sufficient conditions are obtained in terms of matrix elements for the boundedness of Lebesgue functions of linear methods of summation of expansions in orthogonal systems of polynomial type.Translated from Matematicheskie Zametki, Vol. 6, No. 3, pp. 277–286, September, 1969. 相似文献