共查询到20条相似文献,搜索用时 46 毫秒
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两个著名不等式的加强式及其反向不等式 总被引:1,自引:0,他引:1
从一对离散型双向不等式出发,推广到相应的积分型双向不等式,然后通过代换,获得积分型Holder不等式和积分型H.Minkowski不等式的加强式及其反向不等式,从而拓广其应用范围。 相似文献
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三大著名不等式的拓广与深化 总被引:1,自引:0,他引:1
利用一个分式型的双向积分不等式 ,将 H lder不等式、H.Minkowski不等式、Schl milch不等式(幂平均不等式 )三大世界著名不等式进行拓广与深化 ,使对此问题的研究更具深刻性、系统性 . 相似文献
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Hoelder不等式的推广及杨—张不等式的隔离 总被引:1,自引:0,他引:1
本文首先推广了著名的Hlelder不等式,多面手其特殊情况将杨路和张景中在「1」中所得的关于工量加的不工隔离开来。 相似文献
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n× m非负实数矩阵的每列元素之和的几何平均值不小于其每行元素的几何平均值之和 ,运用它给出了一类和 (或积 )式不等式的简捷证明 ,也导出了著名不等式 :Cauchy不等式、Holder不等式等的推广形式的积分不等式 相似文献
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含k-Brocard距离的一类几何不等式 总被引:5,自引:0,他引:5
Let P be an inner point of a convex N-gonΓN:A1A2…ANA1(N≥3), and let di,k denote the distance from the point Ai k, to the line PAi(i=1,2,…,N,Ai=Aj(?)i=j(modN)), which is called the k-Brocard distance for P ofΓN. We have proved the following double-inequality: If P∈ΓN, and then . 相似文献
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We validate the conjectured logarithmic Minkowski inequality, and thus the equivalent logarithmic Brunn–Minkowski inequality, in some particular cases and we prove some variants of the logarithmic Minkowski inequality for general convex bodies without the symmetry assumption. An application of one of these variants is shown. 相似文献
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Witold Jarczyk Janusz Matkowski 《Proceedings of the American Mathematical Society》2002,130(11):3243-3247
H.P. Mulholland has presented a sufficient condition for a generalization of the Minkowski inequality and another such condition was given by R.M. Tardiff. We show that Mulholland's condition implies Tardiff's, but that the converse is false.
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Janusz Matkowski 《Journal of Mathematical Analysis and Applications》2008,348(1):315-323
Let (Ω,Σ,μ) a measure space such that 0<μ(A)<1<μ(B)<∞ for some A,B∈Σ. Under some natural conditions on the bijective functions φ,φ1,φ2,ψ,ψ1,ψ2:(0,∞)→(0,∞) we prove that if
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Susanne Saminger-Platz Bernard De Baets 《Journal of Mathematical Analysis and Applications》2008,345(2):607-614
It is well known that dominance between strict t-norms is closely related to the Mulholland inequality, which can be seen as a generalization of the Minkowski inequality. However, strict t-norms constitute only one part of the class of continuous Archimedean t-norms, the basic elements from which all continuous t-norms are composed. In this paper, dominance between continuous Archimedean t-norms is shown to be related to a generalization of the Mulholland inequality. We provide sufficient and necessary conditions for its fulfillment. 相似文献
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We give reverses of the classical Young inequality for positive real numbers and we use these to establish reverse Young and Heinz inequalities for matrices. 相似文献
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关于两个新型Hilbert不等式的推广 总被引:10,自引:2,他引:8
众所周知,Hilbert不等式是一个有重要应用的不等式,1998年,B.G.Pachpatte给出了类似Hilbert级数不等式的两个新不等式,本文的主要工作是推广了这两个新个新不等式。 相似文献
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