共查询到20条相似文献，搜索用时 109 毫秒
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罗俊丽 《西安文理学院学报》2007,(1)
研究了Pólya-Sze不等式的加权积分推广式,并在一定程度得到了Bunziakowski-Schwarz不等式.利用归纳和类比方法,得到了Pólya-Sze不等式的加权加强推广式后,给出了一种简洁有趣的构造性证明方法.结果表明运用新的Pólya-Sze加权积分不等式,能够明显地解决Pólya-Sze不等式.通过归纳类比方法和构造性方法,确定了这两种基本方法是解决这一类解析不等式的有效手段. 相似文献
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一个加权的Kantorovich不等式及其应用 总被引：1，自引：0，他引：1
罗俊丽 《西安文理学院学报》2006,9(2):33-35
在研究离散型和积分型Kantorovich不等式的基础上,通过归纳类比的方法,得到了新的Kantorovich不等式的加权推广积分形式,并运用构造性方法给出了一种简洁有趣的证明.又进一步从新的Kantorovich加权积分不等式推出了Pólya-Szeg加权积分不等式,最后指出了Kantorovich加权积分不等式与Buniakowski-Cauchy-Schwarz加权积分不等式的关系,以彰显其内在规律性和应用性. 相似文献
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罗俊丽 《咸阳师范学院学报》2007,22(4):80-81
在分析和研究Cauchy-Schwarz不等式的基础上,运用归纳类比的方法,得到了Cauchy-Schwarz不等式的又一个积分推广形式,并给出了一种简洁有趣的构造性的证明。 相似文献
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从离散型W．H．Young不等式出发，以归纳类比和分类讨论思想为基础，得到了一个新的积分不等式，并运用构造性方法给出了一种十分简洁的证明，又进一步讨论了新的积分不等式与P．Schweitzer反向积分不等式的关系，同时指出了由新的积分不等式能够得到Hoelder积分不等式、Minkowski积分不等式及Buniakowski—Schwarz积分不等式等，凸显其内在规律性和应用的广泛性。 相似文献
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分析了Kantorovich加权加强积分不等式，并运用演绎推理和构造性的方法，得到了一类Kantorovich离散型加权加强不等式． 相似文献
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Cauchy—Schwarz不等式的几种推广形式 总被引：1，自引：1，他引：0
在分析和研究Cauchy-Schwarz不等式及积分不等式的基础上,通过归纳和类比的方法,得到了新推广的Cauchy-Schwarz不等式的有限和幂次型与无限和幂次型及其相应的积分型形式,并给出了十分简洁有趣的证明. 相似文献
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王旭琴 《吕梁高等专科学校学报》2011,1(2)
H(o)lder不等式是基础数学理论中的一个重要不等式.本文分析H(O)lder不等式的级数形式和积分形式,并且应用Jensen不等式、Young不等式和平均值不等式的推广形式分别给出了H(o)lder不等式的证明过程. 相似文献
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研究了文[1]中Polya-Szego不等式及推广了的积分不等式的繁琐程度,从而构造性的给出了这两个不等式的简洁证明. 相似文献
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以构造性方法为主要手段,论证了著名的Кантороъич积分不等式,并对康托洛维奇积分不等式的加强与推广作了证明. 相似文献
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利用权得到了Poincare型积分不等式的推广：加权Poincare型积分不等式。这个不等式是经典结果的推广,它可被用来研究积分性质和用来做积分值的估计。 相似文献
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ZHANG Chun-jie QIAN Rui-rui 《浙江大学学报(A卷英文版)》2007,8(12):2037-2040
In this paper, we shall prove that the Marcinkiewicz integral operator #n, when its kernel Ω satisfies the L^1-Dini condition, is bounded on the Triehel-Lizorkin spaces. It is well known that the Triehel-Lizorkin spaces are generalizations of many familiar spaces such as the Lehesgue spaces and the Soholev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triehel-Lizorkin space which makes our approach more clear. 相似文献
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郑淑红 《和田师范专科学校学报》2007,27(5):192-192
用概率论的思想方法,能够解决一些积分中的问题,并能体现思想方法的简捷性和独特性,本文在积分不等式的证明和积分计算中引进了概率方法,取得了较好的效果。 相似文献
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JIANG Xiao-yuan DU Feng ZHANG Xu JIA Yan-rong ZHENG Xiao-ming 《浙江大学学报(A卷英文版)》2007,8(11):1839-1845
Using SnxTi1-xO2 as carriers, CuO/Sn0.9Ti0.1O2 and CuO/Sn0.7Ti0.3O2 catalysts with different loading amounts of copper oxide (CuO) were prepared by an impregnation method. The catalytic properties of CuO/Sn0.9Ti0.1O2 and CuO/Sn0.7Ti0.3O2 were examined using a microreactor-gas chromatography (GC) NO CO reaction system and the methods of BET (Brun- auer-Emmett-Teller), TG-DTA (themogravimetric and differential thermal analysis), X-ray diffraction (XRD) and H2-temperature programmed reduction (TPR). The results showed that NO conversions of Sn0.9Ti0.1O2 and Sn0.7Ti0.3O2 were 47.2% and 43.6% respectively, which increased to 95.3% and 90.9% at 6 wt% CuO loading. However, further increase in CuO loading caused a decrease in the catalytic activity. The nitrogen adsorption-desorption isotherm and pore-size distribution curve of Sn0.9Ti0.1O2 and Sn0.7Ti0.3O2 represented type IV of the BDDT (Brunauer, Deming, Deming and Teller) system and a typical mesoporous sample. There were two CuO diffraction peaks (2θ 35.5° and 38.7°), and the diffraction peak areas increased with increasing CuO loading. TPR analysis also detected three peaks (α, β and γ) from the CuO-loaded catalysts, suggesting that the α peak was the reduction of the highly dispersed copper oxide, the β peak was the reduction of the isolated copper oxide, and the γ peak was the reduction of crystal phase copper oxide. In addition, a fourth peak (δ) of the catalysts meant that the SnxTi1-xO2 mixed oxides could be reductive. 相似文献
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Ml0.7Mm0.3Ni3.7Co0.7Mn0.4Al0.2 nanocrystalline hydrogen storage materials are prepared by melt-spinning(MS).X-ray diffraction is used for the measurement of the nanocrystalline size.Compared to the electrode of polycrystalline alloys,the property of activation MH9metal hydride)electrode of the alloys with nanometer scale became worse and the inital discharge capacity decreased.It may be ascribed to the decrease of the total amount of rare earth metals and the increase of oxygen on the surface from the analysis of components of the alloys.After heat-treatment,the electrochemical performance of MH electrode of as-spun alloys could be improved,which could be attributed to the alleviation of the lattice strain. 相似文献
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Kostal 《Zeitschrift für Hochschulrecht, Hochschulmanagement und Hochschulpolitik: zfhr》2008,7(1):29-30
§ 27 Abs. 4 der Satzung der Universit?t X- Satzungsteil Studienrecht (Satzung) r?umt zwar das Recht ein, eine Betreuerin/einen
Betreuer ihrer Dissertation auszuw?hlen; dieses Recht ist jedoch auf die Auswahl auf die "zur Verfügung stehenden" Betreuerinnen/Betreuer
eingeschr?nkt und besteht auch in Ansehung dieses Personenkreises nur "nach Ma?gabe der M?glichkeiten". 相似文献
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Supersaturated solid solutions Fe1-xCx （0≤x≤0.9 ） of wide composition range have been prepared by mechanical alloying process. Nanocrystalline phase was formed for 0 ≤ x ≤ 0.67 and a large grain phase for 0.75 ≤ x ≤ 0.9. The large fraction of graphite volume puts off formation of nanocrystalline phase for high carbon content. In the large grain phase, magnetization follows simple magnetic dilution, and eoereivity He is mainly due to dissolution of carbon at grain boundaries. In the nanocrystalline phase the alloying effect of carbon is revealed by a distinct reduction of average magnetic moment. The increasing lattice constant with increasing carbon content is observed for x ≤ 0.5, suggesting that the high carbon concentration may enhance diffusion of carbon into the Fe lattice. It shows a discontinuity in the Hc variation with a grain size D of nanocrystalline phase. For small grain D below the critical value, Hc increases with D. For a large grain D, Hc decreases with increasing D. The solubility limit of carbon in a-Fe extended by nanocry- stalline phase formation is discussed. 相似文献