Chebyshev-Fourier级数部分和逼近单调型连续函数的误差估计

摘要

The approximation for continuous functions of monotonic type by the partial sums ofChebyshev-Fourier series has been investigated. An error estimate of the approximation isobtained. At the end three questions are raised, and it is the core of three questions thatwhether logn could be removed from some estimate expressions.%研究了用Chebyshev级数部分和逼近单调型连续函数，得到了逼近的误差估计，并提出了 3 个问题．这 3 个问题的核心就是估计式中的因子“logn”能否去掉．