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《Journal of Shantou University(Natural Science Edition)》 1988-01
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On L′-Convergence and L′-Approximaton of Fourier Series

Chu Zhiren (Department of Mathematics)  
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.
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