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一个推广的Hilbert型积分不等式及其应用 总被引:1,自引:0,他引:1
本文改进权函数的方法,引入参数λ,给一个Hilbert型积分不等式以具有最佳常数因子的推广.作为应用,建立其等价式及逆向形式.本文的结果及所提供的方法将对同类问题的研究起到有益的借鉴作用. 相似文献
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关于一个推广的具有最佳常数因子的Hilbert类不等式及其应用 总被引:9,自引:0,他引:9
本文引入单参数λ,对一个Hilbert类不等式作具有最佳常数因子的推广.作为应用,建立它的等价形式并获得了一些特殊结果. 相似文献
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利用权函数的方法,建立一个基本的、-1齐次且具有最佳常数因子的Hilbert型积分不等式,还考虑了其等价式及引入参数的最佳推广情形. 相似文献
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引入权函数,建立一个含多参量与最佳常数因子的新的反向Hilbert型积分不等式.作为应用,给出了其两个等价式及几个特殊结果. 相似文献
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一个推广的Hilbert型不等式及其等价式 总被引:1,自引:0,他引:1
王爱珍 《数学的实践与认识》2008,38(7)
引入单参量λ及估算权系数,建立一个新的具有混合核的Hilbert型不等式以最佳常数因子的推广.作为应用,给出了其等价形式及一些特殊结果. 相似文献
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王爱珍 《纯粹数学与应用数学》2011,27(2):182-189
通过引入权系数,应用实分析的方法,建立一个具有最佳常数因子的零齐次核的Hilbert型不等式,同时还考虑了其等价形式及逆向形式. 相似文献
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本文通过引入独立参数λ与α,应用改进的Euler-Maclaurin公式,优化了权系数的估算方法,建立一个具有最佳常数因子的较为精密的Hilbert型不等式.作为应用,考虑了等价式及一些特殊情形将有助于估算及建立同类型的其它不等式. 相似文献
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本文研究了建立逆向Hilbert型不等式问题.引入两对共轭指数,应用权函数,实分析及参量化的方法,在积分子区间上建立逆向的具有最佳常数因子及一般齐次核的Hilbert型积分不等式,等价式及一些特殊核的不等式,推广了一些文献的结果. 相似文献
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We investigate the problem of the best uniform approximation of a function continuous on a compact set. We generalize the principal results of this investigation to the problem of the best simultaneous uniform approximation of a family of functions continuous on a compact set. 相似文献
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一个核带超几何函数的0次齐次的Hilbert型积分不等式 总被引:1,自引:0,他引:1
引进一个含独立参数的0次齐次核,通过实分析技巧估算权函数,建立了一个定义在全平面上的具有最佳常数因子的Hilbert型积分不等式,其中常数因子同时含有Beta函数和超几何函数.此外,还给出了逆向不等式及其相应的等价形式. 相似文献
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Linex Unbiasedness in a Prediction Problem 总被引:7,自引:0,他引:7
Yushan Xiao 《Annals of the Institute of Statistical Mathematics》2000,52(4):712-721
A statistical prediction problem under LINEX loss function is considered. Some results about LINEX-unbiased predictor are derived and the best LINEX-unbiased predictor is given. We also show that the best risk-unbiased predictor is equal to the best equivariant predictor in the location family. 相似文献
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一个Hilbert型积分不等式的含多参数的最佳推广 总被引:1,自引:0,他引:1
引入权函数,建立了一个含多参数且具有最佳常数因子的推广的Hilbert型积分不等式,同时给出了相应的等价形式。 相似文献
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D.F. Robinson 《Discrete Mathematics》1973,6(1):89-99
Let G be a graph with vertex set V, and let h be a function mapping a subset U of V into the real numbers R. If ? is a function from V to R, we define δ (?) to be the sum of ∥?(b)? ?(a)∥ over all edges {a, b} of G. A best extension of h is such a function ? with ?(x) = h(x) for X ∈ U and minimum δ (?). We show that such a best extension exists and derive an algorithm for obtaining such an extension. We also show that if instead we minimise the sum of (?(b)??(a))2, there is generally a unique best extension, obtainable by solving a system of linear equations. 相似文献
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洪勇 《数学年刊A辑(中文版)》2012,33(6):679-686
定义了一类准齐次函数, 将齐次函数进行了推广. 讨论了具有准齐次核的Hardy-Hilbert型级数不等式,
并在一定条件下研究了最佳常数因子. 相似文献
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WANG Xinghua~ 《中国科学A辑(英文版)》2005,48(1)
The best quadrature formula has been found in the following sense:for afunction whose norm of the second derivative is bounded by a given constant and thebest quadrature formula for the approximate evaluation of integration of that function canminimize the worst possible error if the values of the function and its derivative at certainnodes are known.The best interpolation formula used to get the quadrature formula aboveis also found.Moreover,we compare the best quadrature formula with the open compoundcorrected trapezoidal formula by theoretical analysis and stochastic experiments. 相似文献
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M. El Ghami Z.A. Guennoun S. Bouali T. Steihaug 《Journal of Computational and Applied Mathematics》2012
In this paper, we present a new barrier function for primal–dual interior-point methods in linear optimization. The proposed kernel function has a trigonometric barrier term. It is shown that in the interior-point methods based on this function for large-update methods, the iteration bound is improved significantly. For small-update interior-point methods, the iteration bound is the best currently known bound for primal–dual interior-point methods. 相似文献
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The best quadrature formula has been found in the following sense: for a function whose norm of the second derivative is bounded
by a given constant and the best quadrature formula for the approximate evaluation of integration of that function can minimize
the worst possible error if the values of the function and its derivative at certain nodes are known. The best interpolation
formula used to get the quadrature formula above is also found. Moreover, we compare the best quadrature formula with the
open compound corrected trapezoidal formula by theoretical analysis and stochastic experiments. 相似文献
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