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Applications of Bernstein-Durrmeyer operators in estimating the covering number
  • 时间:0
  • 分类:O174.41[理学—数学;理学—基础数学] O174.14[理学—数学;理学—基础数学]
  • 作者机构:[1]Zhejiang Industry Polytechnic College, China, [2]Shaoxing College of Arts and Sciences, China
  • 相关基金:Supported by the National Natural Science Foundation of China (Grant No. 10871226).
  • 相关项目:关于采样学习最优解的特征与误差估计的研究
中文摘要:

论文与 Bernstein-Durrmeyer 操作符处理盖住的号码的估计一些纺织品商人内核 Hilbert 空格。我们首先给 l 的估计由核复制的纺织品商人核矩阵的 2 鈥 ? 标准

英文摘要:

The paper deals with estimates of the covering number for some Mercer kernel Hilbert space with Bernstein-Durrmeyer operators. We first give estimates of l2- norm of Mercer kernel matrices reproducing by the kernelsK(α,β)(x,y):=∑∞k=0 Ck(α,β)(x)Qk(α,β)(y),where Qk(α,β) (x) are the Jacobi polynomials of order k on (0, 1 ), Ck(α,β) 〉 0 are real numbers, and from which give the lower and upper bounds of the covering number for some particular reproducing kernel Hilbert space reproduced by Kα,β (x, y).

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