共查询到20条相似文献,搜索用时 93 毫秒
1.
姜本源 《辽宁科技大学学报》2000,23(4)
利用函数f(x)在积分区间[a,b]端点的函数值及各阶导数值,对函数f(x)在[a,b]上的定积分进行估计,进而得到若干积分不等式.主要结果如下:若函数f(x)是[a,b]上n+1次可微函数,且|f(n+1)(x)|≤M(M>0),则|∫baf(x)dx-x∑k=0(b-a)k+1/2k+1(k+1)![f(k)(a)+(-1)kf(b)]|≤1/2n+1(n+2)!M(b-a)n+2 相似文献
2.
熊启才 《汉中师范学院学报》2002,20(3):22-26
利用广义m阶Euler-Bernoulli多项式,给出了有关广义m阶Euler-Bemoulli多项式的几个重要恒等式.即(1)∑a+b=n Ea(mx/(m+1))·Eb(mx/(m+1))/(a!b!)=2En+1^(m)/(mn!)-2(x-m)En^(m)(x)/(mn!);(2)∑a+b+c=n Ea(mx/(m+2)·Eb(mx/(m+2))·Ec(mx/(m+2))(a!b!c!)=2En+2^(m)(x)/(mn!)-2[2x-(m+2)]En+1^(m)(x)/(mn!)+[2(2-m)x^2+2(2m^2-m-2)x+2(m+m^2-m^3)]·En^(m)(x)/(mn!);(3)∑a+b=n Ea^(m)(x)/(a!b!)=2^n[Bn+k^(m)(x)]^(k)/(n+k)!;其中n,k为非负整数,m为整数. 相似文献
3.
陈天平 《复旦学报(自然科学版)》1965,(4)
1.假如f(x)∈L[0,2π],且在[0,2π]的子区间[a,b]上是连续的,那末我们写着f(x)∈L[0,2π]·C[a,b], ω_2(f,δ;a,b)= sup |f(x+h)+f(x-h)-2f(x)|.关于这类函数的富里埃级数f(x)~a_0/2+sum form n=1 to ∞(1/n)(a_n COS nx+b_n sin nx),Flett,Sunouchi等作者讨论了蔡查罗局部逼近问题。本文的目的是在详尽地讨论这个局部逼近问题,指出局部性与整体性的差别,并且解决了局部饱和问题。我们建立两个定理。定理1.设f(x)∈L[0,2π],ω_2(f, δ;a,b)=O(δ~β),f(x)的富里埃系数a_n,b_n=O(n~(a-β)).则(i)当0<β<1时,在[α+2ε,b-2ε]中均匀地成立着σ_n~α(f;x)-f(x)=O(n~(-β));(ii)当β=1时,f′(x)在[a,b]中是有界的话,在[a+2ε,b-2ε」中均匀地成立着 相似文献
4.
运用实分析方法,研究了Neuman-Sándor平均M(a,b)与第二类反调和平均D(a,b)和调和根平方平均H(a,b)(及调和平均H(a,b))凸组合的序关系.发现了最大值λ_1,λ_2∈(0,1)和最小值μ_1、μ_2∈(0,1)使得双边不等式λ_1D(a,b)+(1-λ_1)H(a,b)M(a,b)μ_1D(a,b)+(1-μ_1)H(a,b),λ_2D(a,b)+(1-λ_2)H(a,b)M(a,b)μ_2D(a,b)+(1-μ_2)H(a,b)对所有a,b0且a≠b成立. 相似文献
5.
设n>4,fb(x)=xn-bx-a∈Z[x],其中a,b≠0,n∈N,a,b∈Z.讨论b=±1时fb(x)的二次不可约因式.证明x6-x-a在Z[x]中没有二次不可约因式;若f-1(x)在Z[x]中有二次不可约因式,除了n≡2(mod 3),a=-1,g(x)=x2+x+1情况外,必有n=5,a=±6或n=13,a=±90,且g(x)=x2±x+2. 相似文献
6.
证明了若f:[a,b]→[a,b]为单调增加的连续函数,λ∈(0,1),定义Fλ:[a,b]→[a,b],Fλx=(1-λ)x+λf(x),x1∈[a,b],xn+1=Fλxn=Fλnx1,n≥1,则{xn}单调地收敛于f的1个不动点. 相似文献
7.
研究测度链T上边值问题[q(t)xΔ(t)]Δ+λf(t,xσ(t))=0,t∈[a,σ(b)]∩T,αx(a)-βxΔ(a)=0,γx(σ(b))+δxΔ(σ(b))=0,其中f:[a,σ(b)]×[0,∞)→[0,∞)是连续的,对f赋予一定的条件,通过应用锥上的不动点定理,得到在λ某个区间上边值问题正解的存在性定理。文中把原有的方程二阶部分从xΔΔ(t)推广到[q(t)xΔ(t)]Δ,这里要求q(t)在[a,σ(b)]上有界,恒正。 相似文献
8.
对于三对角矩阵An=[2 λ1 μ2 2 λ2 μ3 2 λ3 μn-1 2 λn-1 μn 2]其中μk,λk>0,μk λk=1,k=2,3,…,n-1.文[1]、[2]指出,当λ1,μn<4时,An是非奇异阵.本文给出比文[1]、[2]好的两个结论:1°当n≥4时,λ1=μk=4,An是非奇异阵,且An的各个顺序主子式全大于零.2°n≥3,当λ1,μn<4时,An的各个顺序式全为证. 相似文献
9.
A-G-H不等式的优化推广及其应用 总被引:2,自引:0,他引:2
文家金 《陕西师范大学学报(自然科学版)》2004,(Z1)
借助于被称为降维法的新方法,建立了如下不等式:设ai>0,i=1,…,n,n≥2,A(a)1/n,H(a)=1-1-1ai,G(a)=∏n,则当且仅当实数λ≤1ai=1n∑nn时有不等式:n∑ni=1i=1i=1[H(a)]1-λ·[A(a)]λ≤G(a).作为应用,获得了一个几何不等式及一个有趣的矩阵不等式,并且推广了Carleman不等式. 相似文献
10.
姜本源 《鞍山科技大学学报》2000,23(4):296-299
利用函数f(x)在积分区间[n,b]端点的函数值及各阶导数值,对函数f(x)在[α,b]上的定积分进行估计,进而得到若干积分不等式.主要结果如下:若函数f(x)是[α,b]上n 1次可微函数,且│f^(n 1)(x)│≤M(M>0),则│∫^b α(x)dx-n∑k=0 (b-α)^k 1/2^k 1(k 1)! [f^(k) (α) (-1)^k f^(k)(b)]│≤1/2^n 1(n 2)! M(b-α)^n 2. 相似文献
11.
Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness. 相似文献
12.
Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women's language from these perspectives: pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women's language, more attention should be paid to language use in social context. What's more, the linguistic phenomena in a speaking community can be understood more thoroughly. 相似文献
13.
Wuthering Heights, Emily Bronte's only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well. 相似文献
14.
The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation. 相似文献
15.
理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。 相似文献
16.
As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death. 相似文献
17.
Miao Maosheng 《华南师范大学学报(自然科学版)》2014,(6)
正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula- 相似文献
18.
Yang Weitao 《华南师范大学学报(自然科学版)》2014,46(6):137-138
We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re- 相似文献
19.
Bernard Kirtman 《华南师范大学学报(自然科学版)》2014,(6)
正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that 相似文献
20.
《上海师范大学学报(自然科学版)》2014,(5):550
<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with 相似文献