排序方式: 共有4条查询结果,搜索用时 15 毫秒
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A. Aziz W. M. Shah 《分析论及其应用》2007,23(2):101-111
In this paper we establish Lq inequalities for polynomials, which in particular yields interesting generalizations of some Zygmund-type inequalities. 相似文献
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In this paper sufficient conditions for mean convergence and rate of convergence of Hermite-Fejer type interpolation in the Lp norm on an arbitrary system of nodes are presented. 相似文献
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Weighted mean convergence of Hakopian interpolation on the disk 总被引:1,自引:0,他引:1
Xuezhang Liang Renzhong Feng Xuenan Sun 《分析论及其应用》2007,23(3):213-227
In this paper, we study weighted mean integral convergence of Hakopian interpolation on the unit disk D. We show that the inner product between Hakopian interpolation polynomial Hn(f;x,y) and a smooth function g(x,y) on D converges to that of f(x,y) and g(x,y) on D when n →∞, provided f(x,y) belongs to C(D) and all first partial derivatives of g(x,y) belong to the space LipαM(0 <α≤ 1). We further show that provided all second partial derivatives of g(x,y) also belong to the space LipαM and f(x,y) belongs to C1 (D), the inner product between the partial derivative of Hakopian interpolation polynomial (6)/(6)xHn(f;x,y) and g(x,y) on D converges to that between (6)/(6)xf(x,y) and g(x,y) on D when n →∞. 相似文献
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Jiman Zhao 《分析论及其应用》2005,21(4):317-325
In this paper, we define the localization operator associated with the spherical mean operator, and show that the localization operator is not only bounded, but also in Schatten-Von Neumann class. We also give a trace formula when the symbol function is a nonnegative function. 相似文献
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