共查询到19条相似文献,搜索用时 78 毫秒
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关于 Hilbert积分不等式(英) 总被引:29,自引:0,他引:29
本文通过引入一个适当的形如F(x,y)的正定二次型证明了Hilbert积分不等式可以得到改进.利用这一结果,Widder不等式得到了加强,并且建立了广义的Hardy-Littlewood不等式. 相似文献
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对于 q>1的鞅Φ-不等式,到目前为止已经作了较充分的研究.但是,对于q=1的鞅Φ-不等式,至今尚未见其研究成果.本文就一类满足一定条件的q=1的 Young 函数Φ,给出了与 q>1相类似的鞅Φ-不等式.从而把有关的结果推广到这一类 q=1的 Young 函数上去. 相似文献
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研究了带参数的Hardy-Hilbert型不等式,利用加强的H(o)lder's不等式对Hardy-Hilbert不等式作了改进,建立了一些新的不等式. 相似文献
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改进了有关凹函数和凸函数的算术平均值单调性的某些已知结论.作为应用,加强了M inc-Sathre不等式和A lzer不等式. 相似文献
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通过Hermite矩阵的谱分解及一个改进的Young不等式,得到了关于正定矩阵的两个不等式,所得结果是对一些经典的矩阵不等式的进一步推广.最后,作为应用,给出了著名的Holder不等式和Minkowsi不等式的一种反向形式. 相似文献
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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
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研究了带积分核函数和参数λ(λ〉1)的Hardy-Hilbert型不等式,并利用加强的Hlder’s不等式对Hardy-Hilbert不等式作了改进,建立了一些新的不等式. 相似文献
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In classical PDE theory, Widder’s theorem gives a representation for non-negative solutions of the heat equation on \(\mathbb{R }^n\) . We show that an analogous theorem holds for local weak solutions of the canonical “heat equation” on a symmetric local Dirichlet space satisfying a local parabolic Harnack inequality. 相似文献
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The greatest Serbian mathematician, Jovan Karamata (1902–1967), gained worldwide fame working on problems related to theorems of a Tauberian nature. His simple and elegant 1930 proof of the Hardy–Littlewood theorem found its place in the well-known monographs by Titchmarsh, Knopp, Doetsch, Widder, Hardy and Favard. It is less known that the method used in this proof was mentioned for the first time at a conference of the Academy of Natural Sciences of the Serbian Royal Academy of Sciences in Belgrade in 1929, where Karamata introduced the notion of majorizability as a new condition of convergence for Abel summable series. This fact holds the key to a historical insight into Karamata’s famous proof of the Hardy–Littlewood theorem. 相似文献
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Dedicated to the memory of Professor David Vernon Widder (1898–1990) 相似文献
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V. M. Ryabov 《Vestnik St. Petersburg University: Mathematics》2008,41(1):77-81
We propose a method for finding points and values of jumps of a given original function based on Widder’s inversion formulas. 相似文献
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《Applied Mathematics Letters》2006,19(4):314-319
The purpose of this work is to obtain Jackson-type estimates in approximation by a complex Post–Widder operator in the unit disk. In addition, these operators preserve some sufficient conditions for starlikeness and univalence of analytic functions. 相似文献
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Post-Widder算子线性组合加Jacobi权的Lp同时逼近 总被引:1,自引:0,他引:1
赵德钧 《纯粹数学与应用数学》2000,16(4):33-40
给出了Post-Widder算子线性组合加Jacobi权的Lp同时逼近的正、逆定理和逼近阶的特征刻划. 相似文献
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George A. Anastassiou 《Applicable analysis》2013,92(8):945-961
In this article we present very general weighted Hilbert–Pachpatte type integral inequalities. These are regarding ordinary derivatives and fractional derivatives of Riemann–Liouiville and Canavati types. Also regarding general derivatives of Widder type and linear differential operators. Our results apply to continuous functions and some to integrable functions. 相似文献
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In the present paper the authors show that iterations of the Hankel transform with Kν-transform is a constant multiple of the Widder transform. Using these iteration identities, several Parseval-Goldstein type theorems for these transforms are given. By making use of these results a number of new Goldstein type exchange identities are obtained for these and the Laplace transform. The identities proven in this paper are shown to give rise to useful corollaries for evaluating infinite integrals of special functions. Some examples are also given as illustration of the results presented here. 相似文献
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The aim of the paper is to characterize the global rate of approximation of derivativesf(l)through corresponding derivatives of linear combinations of Post–Widder operators in an appropriate weightedLp-metric using a weighted Ditzian and Totik modulus of smoothness, and also to characterize derivatives of these operators in Besov spaces of Ditzian–Totik type. 相似文献