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1.
关于两个新型Hilbert不等式的推广   总被引:10,自引:2,他引:8  
赵长健 《数学杂志》2000,20(4):413-416
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   

2.
吴树宏   《数学学报》2006,49(6):1267-1274
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   

3.
关于hilbert-ingham不等式和它的应用   总被引:5,自引:1,他引:4  
本文给出(i)hilbert不等式和hilbert-ingham不等式一些有意义的共同改进;(ii)一些fejer-riesz型不等式的改进和(iii)hardy不等式的改进.  相似文献   

4.
本文给出两个改进的不等式,使改进后的每一个新的不等式均含有Polay-Szego两个不等式改进在内.  相似文献   

5.
吴树宏 《数学学报》2006,49(6):1267-127
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   

6.
胡克 《数学进展》2006,35(3):375-377
本文给出两个改进的不等式,使改进后的每一个新的不等式均含有Polay-Szeg(o)两个不等式改进在内.  相似文献   

7.
类似Hilbert不等式的一些新不等式的推广   总被引:1,自引:0,他引:1  
赵长健 《工科数学》2000,16(3):99-102
本文推广了Pachpatte在文「1」中给出的类似Hilbert不等式的一些新不等式。  相似文献   

8.
本文给出两个改进的不等式,使改进后的每一个新的不等式均含有Polay-Szeg(o)两个不等式改进在内.  相似文献   

9.
厉倩 《数学通讯》2006,(3):32-33
文[1]用Jensen不等式得到了推广的Holder不等式(即定理1,字母有变),本文用数学归纳法简证并推广.  相似文献   

10.
熊斌 《数学通讯》2005,(8):41-44
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   

11.
本文建立了一些新的加强和反向Pachpatte不等式.作为应用,推广和加强了一些新型Hilbert不等式.  相似文献   

12.
In this paper, we establish several new Hilbert-type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are derived by virtue of some recent results regarding general Hilbert-type inequalities and some well-known classical inequalities. We also prove that the constant factors appearing in established inequalities are the best possible. As an application, we consider some particular settings and compare our results with previously known from the literature.  相似文献   

13.
The goal of this paper is to establish the relations between general Bernstein and Nikol’ski type inequalities under some weak conditions. From these relations some known classical inequalities are implied. Also, a family of functions equipped with Bernstein type inequality which satisfies Nikol’ski type inequality is found.  相似文献   

14.
In this paper, some inequalities for sequence rearrangement and matrix product areestablished. The authors extend and improve some known results, and show that there aresome errors in reference on inequalities for sequence rearrangement by examples,  相似文献   

15.
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 Hlder 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   

16.
17.
New properties for some sequences of functions defined by multiple integrals associated with the Hermite-Hadamard integral inequality for convex functions and some applications are given.  相似文献   

18.
This paper is concerned with some sequences based on multiplicative convexity. Our results yield a class of new inequalities between ratios and differences of means, some of which extend the known ones.  相似文献   

19.
该文目的在于对作者[1]文中建立的不等式给出新的性质,并给出一些应用.  相似文献   

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