共查询到19条相似文献,搜索用时 62 毫秒
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Schur不等式和Hoelder不等式是两个重要的不等式,本讲我们介绍Schur不等式和Hoelder不等式及其应用. 相似文献
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本文利用变分方法对多个变元的不含变元导数的Holder不等式和Minkowski不等式进行了推广.此种方法的主要意义不在于证明传统的不等式,而在于发现新的不等式. 相似文献
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赵长健 《数学年刊A辑(中文版)》2014,35(6):697-704
20世纪80年代Milman曾指出:反向Brunn-Minkowski不等式是凸几何的一个深刻的结果.考虑了对偶情况,建立了一个反向的对偶Brunn-Minkowski不等式.进一步,均值积分差的反向对偶Brunn-Minkowski型不等式也被建立. 相似文献
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本文给出著名的Pedoe不等式之逆向不等式(3),并利用它得出著名的Oppenheim不等式之逆向不等式(12)。此外,本文还给出正定厄米特矩阵的Minkouski不等式之逆向不等 相似文献
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在矩阵不等式理论里,Szász不等式和Hadamard不等式是基本的结论.给出Szász不等式的加法形式,证明Hadamard不等式等价于AM-GM不等式,这些定论似乎被矩阵论专家忽视了.从一个侧面揭示了"平均"思想的重要作用. 相似文献
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本文利用变分方法对多个变元的不含变元导数的H■lder不等式和Minkowski不等式进行了推广.此种方法的主要意义不在于证明传统的不等式,而在于发现新的不等式. 相似文献
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该文推广了Busemann不等式,并应用它得到了一种广义相交体的对偶Brunn-Minkowski不等式. 相似文献
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《Journal of the Egyptian Mathematical Society》2014,22(2):254-257
In this paper, we introduce two new forms of the half-discrete Hilbert inequality. The first form is a sharper form of the half-discrete Hilbert inequality and is related to Hardy inequality. In the second one, we give a differential form of this inequality. 相似文献
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Masatoshi Fujii Ritsuo Nakamoto 《Proceedings of the American Mathematical Society》2000,128(1):223-228
We give an extension of Lin's recent improvement of a generalized Schwarz inequality, which is based on the Heinz-Kato-Furuta inequality. As a consequence, we can sharpen the Heinz-Kato-Furuta inequality.
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吴善和 《数学的实践与认识》2005,35(9):134-139
利用Ho。lder不等式、Young不等式、Chebyshev不等式、幂平均不等式建立Radon不等式的指数推广形式,得到一个具有广泛应用价值的不等式.指出文[7]中给出的关于Radon不等式的推广结果是错误的,并在本文中作了修正. 相似文献
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In this paper, we consider Carlson type inequalities and discuss their possible improvement. First, we obtain two different types of generalizations of discrete Carlson's inequality by using the Hlder inequality and the method of real analysis, then we combine the obtained results with a summation formula of infinite series and some Mathieu type inequalities to establish some improvements of discrete Carlson's inequality and some Carlson type inequalities which are equivalent to the Mathieu type inequalities. Finally, we prove an integral inequality that enables us to deduce an improvement of the Nagy-Hardy-Carlson inequality. 相似文献
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Chia Shiang Lin 《数学学报(英文版)》2001,17(4):657-668
In this paper we initiate a study of covariance and variance for two operators on a Hilbert space, proving that the c-v (covariance-variance)
inequality holds, which is equivalent to the Cauchy-Schwarz inequality. As for applications of the c-v inequality we prove
uniformly the Bernstein-type inequalities and equalities, and show the generalized Heinz-Kato-Furuta-type inequalities and
equalities, from which a generalization and sharpening of Reid's inequality is obtained. We show that every operator can be
expressed as a p-hyponormal-type, and a hyponormal-type operator. Finally, some new characterizations of the Furuta inequality are given.
Received April 9, 2000, Revised July 20, 2000, Accepted August 8, 2000 相似文献
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《Indagationes Mathematicae》2017,28(2):362-371
Recently, a dual Minkowski inequality and a dual Brunn–Minkowski inequality for volume differences were established. Following this, in this paper we establish a dual Aleksandrov–Fenchel inequality for dual mixed volume differences which generalizes several recent results. 相似文献
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Guji Tian 《偏微分方程(英文版)》2000,13(3):207-216
In this article we discuss the relation between Heisenberg's inequality and logarithmic Heisenberg's (entropy) inequality for ambiguity function. After building up a Heisenberg's inequality, we obtain a connection of variance with entropy by variational method. Using classical Taylor's expansion, we prove that the equality in Heisenberg's inequality holds if and only if the entropy of 2k - 1 order is equal to (2k - 1}!. 相似文献
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关于离散Karamata不等式及其应用 总被引:2,自引:0,他引:2
本文获得了著名Karamata不等式的离散形式,利用这个结果推广了Newton不等式,应用推广的Newton不等式将张景中和杨路在[1]所得的几何不等式加以推广。 相似文献