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APPROXIMATION OF CONVEX TYPE FUNCTION BY PARTIAL SUMS OF FOURIER SERIES
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作者 YuGuohua 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2004年第1期67-76,共10页
The concept of convex type function is introduced in this paper,from which a kin d of convex decomposition approach is proposed.As one of applications of this a pproach,the approximation of the convex type function b... The concept of convex type function is introduced in this paper,from which a kin d of convex decomposition approach is proposed.As one of applications of this a pproach,the approximation of the convex type function by the partial sum of its Fourier series is inves tigated.Moreover,the order of approximation is describe d with the 2th continuous modulus. 展开更多
关键词 Fourier series convex type function convex DECOMPOSITION Riemann deriv ative continuous modulus approximation.
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凸连续模的性质 被引量:1
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作者 李宗铎 熊慧军 《数学理论与应用》 2003年第2期119-123,共5页
本文在介绍连续模概念的基础上 ,对凸连续模做了进一步的研究或提出新的证法 .
关键词 凸连续模 函数空间 连续模 NEWTON-LEIBNIZ公式 RIEMANN积分 连续函数 凸函数
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