共查询到20条相似文献,搜索用时 62 毫秒
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本文给出关于二次根式的不等式①,并举例说明①的广泛应用.定理设p>0,xy≥0,则p x p y≥p p x y,①当且仅当x=0或y=0时,①之等号成立.证因为xy≥0,所以,p x p y=2p x y 2p2 px py xy≥2p x y 2p2 px py(等号成立当且仅当x=0或y=0)=p 2p.p x y p x y=p p x y.推论1设p>0,xy≥0,p 相似文献
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《数学的实践与认识》2013,(22)
首先给出了合成K_p[P_q]的点可区别正常边色数的一个可达的上界:当p≥3,q≥3时,χ′_s(K_p[P_q])≤pq-q+4.再利用正多边形的对称性构造染色以及组合分析的方法,确定了合成图K_p[P_q]的点可区别正常边色数:当q≥2p+4≥10,p≥q=3以及p是奇数且p≥3,q=4时,χ′_s(K_p[P_q])分别等于pq-q+4,3p和4p-1. 相似文献
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1991年6月号问题解答 (解答由供题人给出) 1.设x≥y≥1,求证: 并确定等号成立的条件。解设x 1=2p~2,y 1=2q~2,其中P≥q≥1,则欲证不等式等价于若p≠q,则上式等价于易证p q-1≥(两端平方,整理有2(p-1)(q-1)≥0) 因而只须证 pq(p q)≥(1 pq)(p q-1)(p-1)(q-1)≥0 由p≥q≥1知上式成立。故欲证不等式成立,其中等号成立当且仅当p=1或q=1或p=q,即x=y或x=1或y=1 注:易证对x≥y≥z>0,欲证不等式与下式 相似文献
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As a generalization of grand Furuta inequality,recently Furuta obtain:If A≥ B≥0 with A0,then for t∈[0,1]and p1,p2,p3,p4≥1, A t 2[A- t 2{A t 2(A/ t 2 Bp 1A /t2 )p 2A t 2}p 3A -t2 ]p 4A t 2 1 [{(p1/t)p2+t}p3-t]p4+t]≤A. In this paper,we generalize this result for three operators as follow:If A≥B≥C≥0 with B0,t∈[0,1]and p1,p2,···,p2n/1,p2n≥1 for a natural number n.Then the following inequalities hold for r≥t, A1/t+r≥ [A r 2[B /t 2{B t 2······[B /t 2{B t 2(B /t 2 ←B /t 2 n times Bt 2 n/1 times by turns Cp 1B /t 2)p 2B t 2}p 3B /t 2]p 4···B t 2}p 2n/1B /t 2 B /t 2 n times Bt 2 n/1 times by turns→ ]p 2nA r 2] 1/t+r q[2n]+r/t, where q[2n]≡{···[{[(p1-t)p2+t]p3/t}p4+t]p5/···/t}p2n+t /t and t alternately n times appear . 相似文献
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对于给定的正整数 p 和 h,p≥h+1且 h≥4,本文给出了 p 阶临界 h棱连通图的最大棱数并且确定了所有达到最大棱数的 p 阶临界 h 棱连通图. 相似文献
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对于给定的正整数 p 和 h,p≥h+1且 h≥4,本文给出了 p 阶临界 h棱连通图的最大棱数并且确定了所有达到最大棱数的 p 阶临界 h 棱连通图. 相似文献
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一、引言 本文改进了[1]的结果,对任意奇素数p给出了差集D(2p,2p,p,2)的构造法。并给出了一些构造正交表的公式,应用这些公式,对任意整数λ≥1,u≥2可由D(λp,λp, 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献
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In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 <β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 <α≤ 1). 相似文献
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A.Al-Shuaibi F.Al-Rawjih 《分析论及其应用》2004,20(1):28-34
Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated. 相似文献
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Francois Chaplais 《分析论及其应用》2006,22(4):301-318
In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f(u) of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation. 相似文献