一个新的Hibert型积分不等式及其逆

通过引入独立参数λ,应用权函数方法和实分析技巧,研究了一类Hilbert型不等式,得到了一个新的Hilbert型积分不等式,证明了它的常数因子是最佳值.作为应用,建立了它的等价形式,并考虑其逆向不等式.     

一个新的Hibert型积分不等式及其逆

通过引入独立参数λ,应用权函数方法和实分析技巧,研究了一类Hilbert型不等式,得到了一个新的Hilbert型积分不等式,证明了它的常数因子是最佳值.作为应用,建立了它的等价形式,并考虑其逆向不等式.     

一个实齐次核的Hilbert型积分不等式

通过引入权函数, 应用实分析的方法, 建立一个具有3个独立参数及两对共轭指数的实齐次核的Hilbert型积分不等式, 并研究了其等价形式、 逆式及一些特殊结果, 所给的不等式是一个零次齐次核的Hilbert型积分不等式的最佳推广.     

一个多参数的新Hilbert型积分不等式

Hilbert不等式是分析学的重要不等式,由于权系数方法的改进及参量化思想的应用,使这一领域的研究有了深入的发展.通过引入参数及估算权函数,建立一个新的核为λ齐次且具有最佳常数因子的Hilbert型积分不等式,作为应用,建立了它的等价式.     

一个非齐次核的Hilbert型积分不等式

探索一个非齐次核的Hilbert型积分不等式.通过引入一个独立参数及一对共轭指数,应用实分析技巧以估算权函数,建立一个具有最佳常数因子的非齐次核的Hilbert型积分不等式,并考虑了它的等价形式.本文的创新结果是参量化思想方法的一个具体应用.     

关于参量化Hilbert不等式的一个应用

应用参量化Hilbert不等式及实分析技巧,建立一个新的具有最佳常数因子的Hilbert型不等式,并考虑了一对具有最佳常数因子的等价不等式及它们的积分类似形式。     

一个多参数的逆向Hilbert型不等式

通过引入参数λ1,λ2,利用权函数方法和实分析技巧研究双参数逆向Hilbert型不等式.得到了一个多参数的逆向Hilbert型积分不等式,证明了它的常数因子是最佳值.还建立了其等价形式及对应二重级数不等式.     

一个非齐次核的半离散型Hilbert型不等式的改进

Hilbert型不等式是分析学中的重要不等式.本文利用权函数、实分析技巧以及加强的Hlder不等式对半离散的Hilbert型不等式作了改进,建立了一些新的不等式.     

推广Hardy—Hilbert型不等式的改进

Hilbert型不等式是分析学中的重要不等式,由于权系数方法的改进及参量化思想的应用,使这一领域的研究有了深入的发展.利用改进了的Hlder不等式对带参数的Hardy-Hilbert型不等式作了进一步的改进,建立了一些新的不等式.     

一个多参数Hardy-Hilbert型不等式及应用

建立了一个多参数的Hardy-Hilbert型不等式,统一了一些已有的结论.作为应用,赋予参数不同的数值,文中还建立了若干已有不等式的对偶形式,并给出了一些新的、简洁的Hilbert型不等式.     

Markedness and its Interpretation in Language Use

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.     

Features of Women's language

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.     

低渗透非均质砂岩油藏启动压力梯度研究

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。     

On Tragic Consciousness In The Works By Ernest Hemingway

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.     

Achieving Unusual States of Matter Under High Pressure

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-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

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-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

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     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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