共查询到19条相似文献,搜索用时 78 毫秒
1.
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
2.
亚半正定矩阵的广义Minkowski不等式的隔离 总被引:1,自引:0,他引:1
李衍禧 《数学的实践与认识》2009,39(10)
利用张晗方建立的推广的Hlder不等式和李炯生给出的关于Ostrowskii-Taussky不等式的新刻划,建立了亚半正定矩阵的广义Minkowski不等式的一种隔离,修正并推广了已有结论. 相似文献
3.
4.
5.
Gronwall—Bihari不等式的统一探讨 总被引:1,自引:0,他引:1
本文探讨Gronwall-Bihari不等式的一些n维拓广.我们获得的结论推广了新近建立的一些结果(其中包括Pachpatte、Yeh、Hristora、Bainor与Shih等人的结果)的推广. 相似文献
6.
借助于Taylor公式在较弱条件下给出Fejer不等式的加强形式,这里的Fejer不等式是著名的关于积分的Hadamard不等式的一种推广. 相似文献
7.
借助于Taylor公式在较弱条件下给出Fejer不等式的加强形式,这里的Fejer不等式是著名的关于积分的Hadamard不等式的一种推广. 相似文献
8.
9.
10.
11.
K. K. CHONG 《数学年刊A辑(中文版)》2002,(1):75-84
Refinements to inequalities on inner product spaces are presented. In this respect, inequalities dealt with in this paper are: Cauchy's inequality, Bessel's inequality, Fan-Todd's inequality and Fan-Todd's determinantal inequality. In each case, a strictly increasing function is put forward, which lies between the smaller and the larger quantities of each inequality. As a result, an improved condition for equality of the Fan-Todd's determinantal inequality is deduced. 相似文献
12.
K. K. CHONG 《数学年刊B辑(英文版)》2002,23(1):75-84
51. IntroductionIn recent years, refinements or interpolations have played an important role on severaltypes of inequalities with new results deduced as a consequence. Please refer to the papers[2, 8, 9, 12], etc. The aim of this paper is to furnish refinements of the Cauchy's and Bessel'sinequalties as shown in Section 2, and also refinements of the Fan-Todd's inequality and theFan-Todd's determinantal inequality in Sections 3 and 4, with an improved condition forequality derived.First of… 相似文献
13.
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.
14.
一个对偶的Hardy-Hilbert不等式及其推广 总被引:5,自引:0,他引:5
本文给出一个对偶的具有最佳常数因子的Hardy-Hilbert不等式,它是Hilbert不等式的具有(p,q)-参数形式的新推广,还考虑了它的更为推广的单参数形式及一个等价不等式。 相似文献
15.
《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
16.
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
17.
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
18.
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
19.
通过引入带参数的指数积分并利用Bernoulli不等式以及改进了的Hlder不等式,对Hardy-Hilbert积分不等式作了有意义改进.特别,当p=2时,得到了经典的Hilbert积分不等式的一个很强的结果. 相似文献