发散级数

文章主要是对满足某些条件的发散级数给出两种不同的求和定义，即算术平均求和与Abel求和，它与通常数学分析中Cauchy意义下所定义的求和是有区别的。

This text is about the divergent series that is satisfied with some conditions to give two different definition of sum , that is , the Arithmetic Sum and the Abel Sum . They are different from the definition of sum , which Cauchy gives .

发散级数的求和问题双等比数列及其研究

The Sum Problem of the Divergent Series Double Equal Ratio Series and Its Study

发散级数的可和性理论

Summability theory of divergent series

用阿贝尔求和法求出发散级数的广义和，跨出了求和由收敛级数到发散级数的一步.加速级数收敛的一种外推算法

In particular , by applying Abel summation method to obtain broad sense sum of divergence series , the calulation of summation was made from convergence series to divergence series . An Extrapolation Methed Used to Accelerate Convergence Series

具有发散Fourier级数的连续性函数

Continuous Function with Divergent Fourier Series