共查询到20条相似文献,搜索用时 15 毫秒
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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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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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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
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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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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
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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
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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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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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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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《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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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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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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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
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二次可微函数的Ostrowski型不等式 总被引:1,自引:0,他引:1
研究了一类二次可微函数,利用二阶导数的上界和下界,给出了二次可微函数的O strow sk i型不等式,同时也推广了经典的中点不等式和梯形不等式. 相似文献
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Guillermina Jasso 《The Journal of mathematical sociology》2018,42(4):186-204
ABSTRACTAre there things that ordinary people can do in their private lives to reduce economic inequality? And, if so, how would these things work? To be sure, there are macro societal mechanisms for reducing inequality. But are there micro mechanisms for reducing inequality? This article first examines inequality measures and behavioral models that produce inequality effects, identifying five sets of inequality mechanisms which lead to levers that ordinary people can use to reduce income inequality, and next discusses the levers, with special attention to their feasibility, ease of use, and side effects. The five levers highlight transfers, equal additions, negative assortative mating, wage schedules that reward multiple personal characteristics, and compensation procedures with voting rules, many voters, diversity of thought, and secret ballots. This work raises new questions for research, such as the sources of diversity of thought. 相似文献
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N.B. Zographopoulos 《Journal of Functional Analysis》2010,259(1):308-314
We present the best constant and the extremal functions for an Improved Hardy-Sobolev inequality. We prove that, under a proper transformation, this inequality is equivalent to the Sobolev inequality in RN. 相似文献