Approximation of Discontinuous Bivariate Functions by Gauss-Weierstrass Operators

机译：高斯-韦斯特拉斯算子对不连续二元函数的逼近

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A new class of bivariate functions on R2 denoted by IB(R2) is introduced. The class IB(R2) may contain some kind of discontinuous functions. The behavior of approximation of functions in IB(R2) by bivariate Gauss-Weierstrass operators is investigated and a point wise approximation theorem is established.

机译：引入了由IB（R2）表示的R2上的一类新的二元函数。类IB（R2）可能包含某种不连续的函数。研究了二元Gauss-Weierstrass算子在IB（R2）中函数逼近的行为，并建立了逐点逼近定理。

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来源
《2013 International Conference on Information Technology and Applications》|2013年|267-271|共5页
会议地点 Chengdu(CN)
作者
Wang Jianyong; Zeng Xiaoming; Ye Peixin;
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原文格式 PDF
正文语种 eng
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关键词
Gauss-Weierstrass operators; approximation theorem; discontinuous functions;

机译：Gauss-Weierstrass算子逼近定理不连续函数;

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1. Multivariate approximation by modified Gauss-Weierstrass operators [J] . Sabina Milella Rendiconti del Circolo Matematico di Palermo . 2016,第1期

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2. Statistical L_p-approximation by double Gauss-Weierstrass singular integral operators [J] . George A. Anastassiou, Oktay Duman Computers & mathematics with applications . 2010,第6期

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3. On Pointwise Approximation Of Gauss-Weierstrass Operators [J] . Wang JY, Zeng XM Journal of computational analysis and applications . 2009,第4期

机译：Gauss-Weierstrass算子的逐点逼近
4. Approximation of Discontinuous Bivariate Functions by Gauss-Weierstrass Operators [C] . Wang Jianyong, Zeng Xiaoming, Ye Peixin International Conference on Information Technology and Applications . 2013

机译：Gauss-Weierstrass运算符近似于不连续双变量功能
5. Approximation of the distribution function for the standard bivariate normal [D] . Jantaravareerat, Montira 1998

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6. Blending type approximation by ... formula ... operators of bivariate tensor product of λ-Bernstein–Kantorovich type [O] . Qing-Bo Cai, Guorong Zhou -1

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7. Degree of simultaneous approximation of bivariate functions by Gordon operators [O] . Gonska Heinz H 1990

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8. On one-sided filters for spectral Fourier approximations of discontinuous functions [R] . Wei, Cai, Gottlieb, David, Shu, Chi-Wang 1991

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Approximation of Discontinuous Bivariate Functions by Gauss-Weierstrass Operators

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