共查询到20条相似文献,搜索用时 125 毫秒
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本文研究了基于扰动Chebyshev结点的(0,1,…,q)Hermite-Fejer插值(q为奇数)对任意连续函数的一致收敛性及其逼近阶. 相似文献
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分别讨论了以第二类Chebyshev多项式的零点、Jacobi多项式的零点、第一类Chebyshev多项式的零点为插值结点组的五类Kantorovich型插值算子在Orlicz空间内的逼近问题,得到了逼近阶的上界估计. 相似文献
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扰动Chebyshev结点上的Hermite-Fejer插值 总被引:2,自引:0,他引:2
本文发现当Chebyshev结点产生某些扰动时,只要扰动量不超过,则基于扰动后的Chebyshev结点的Hermite-Fejer插值过程仍然保持对[-1,1]上任意连续函数的一致收敛性,此外,文中还给出了这种收敛性的收敛速度估计。 相似文献
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本文发现当Chebyshev结点产生某些扰动时,只要扰动量不超过,则基于扰动后的Chebyshev结点的Hermite-Fejer插值过程仍然保持对[-1,1]上任意连续函数的一致收敛性,此外,文中还给出了这种收敛性的收敛速度估计。 相似文献
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具有非线性扰动的中立型系统的时滞相关稳定性 总被引:1,自引:0,他引:1
本研究了具有非线性扰动的中立型系统鲁棒稳定的时滞相关准则。基于LMI方法,并利用S—过程获得了依赖于时滞的鲁棒稳定性准则,所得结果优于已有结论。最后给出一个实例说明本方法的有效性。 相似文献
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《数学的实践与认识》2013,(9)
讨论了一类具有非线性扰动的中立型不确定时滞系统的鲁棒稳定性问题.基于增广的Lyapunov-Krasovskii泛函和自由权矩阵的方法,推导出一个以线性矩阵不等式形式给出的时滞相关稳定性的充分条件.最后通过一个数值算例说明了结果的有效性以及较已有工作的改进. 相似文献
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We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity. 相似文献
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This paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincaré, logarithmic Sobolev and critical Sobolev (Onofri in dimension two) inequalities. The connection between optimal constants and spectral properties of the Laplace-Beltrami operator on the sphere is emphasized. The authors address a series of related observations and give proofs based on symmetrization and the ultraspherical setting. 相似文献
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In the present note a general inequality for the degree of approximation of semigroups by iterates of commuting bounded linear operators on Banach spaces is given. Combining this with a recent quantitative Voronovskaja-type result applications to Durrmeyer operators with ultraspherical weights are derived. Our considerations include the genuine Bernstein–Durrmeyer operators. 相似文献
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In this paper an uncertainty principle for Jacobi expansions is derived, as a generalization of that for ultraspherical expansions by Rösler and Voit. Indeed a stronger inequality is proved, which is new even for Fourier cosine or ultraspherical expansions. A complex base of exponential type on the torus related to Jacobi polynomials is introduced, which are the eigenfunctions both of certain differential-difference operators of the first order and the second order. An uncertainty principle related to such exponential base is also proved. 相似文献
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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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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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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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《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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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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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