| 关于Fourier 级数的L′收敛与L′逼近 |
| |
| 引用本文： | 褚志仁. 关于Fourier 级数的L′收敛与L′逼近[J]. 汕头大学学报(自然科学版), 1988, 0(1) |
| |
| 作者姓名： | 褚志仁 |
| |
| 作者单位： | 汕头大学数学系 |
| |
| 摘 要： | 本文引进复广义单调序列的概念,指出它是文中复拟单调序列概念的一个推广.我们讨论了具有复广义单调 Fourier 系数函数的 L′收敛与 L 逼近的问题.在较弱的条件下建立了与文相应的定理,从而推广了 stanojevic 的定理和谢庭藩在文中的结果.
|
| 关 键 词： | L′-收敛 L′-逼近 复拟单调 付里叶和 |
On L′-Convergence and L′-Approximaton of Fourier Series |
| |
| Chu Zhiren. On L′-Convergence and L′-Approximaton of Fourier Series[J]. Journal of Shantou University(Natural Science Edition), 1988, 0(1) |
| |
| Authors: | Chu Zhiren |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | In this paper we introduce the concept of complex generalized monotone sequence and point out that it is a generalization of concept of complex quasi-monotone sequence.We discuss problems of L′-Approximation and L′-Convergence of function with complex generalized monotone fourier coe fficients.Under weaker conditions,results analogous to [2] are obtained, and C.V.Stanojevic′s theorem in [1] and Xie Tingfan's results in [2] are improved. |
| |
| Keywords: | L′-Convergence L′-Aqqroximation Complex quasi-monotone Fourier sum |
| 本文献已被 CNKI 等数据库收录！ |
