On summability theory and method of Fourier series

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摘要

In this paper, we construct a new integral operator Hn,l(f;x) through W. Rogosinski sum in Fourier series. The convergence order of Hn,l(f;x) is the best for f(x)∈C2πj,0⩽j⩽l, where l is arbitrary odd natural number.

论文关键词:Fourier series,Rogosinski’s sum,The best approximation order

论文评审过程:Available online 22 December 2000.

论文官网地址:https://doi.org/10.1016/S0096-3003(99)00157-5