用变分法加速级数的收敛
Convergence acceleration of series through a variational approach
摘要：
通过变分方法，我们发现新的系列表示为众所周知的数学常数，如$π$和加泰罗尼亚常数，和数学函数，如黎曼zeta函数。我们所发现的级数都是指数收敛的，并提供了相当有用的分析近似。通过有限的努力，我们的方法可以应用于获得一大类数学函数的类似指数收敛级数。
英文摘要：
By means of a variational approach we find new series representations both for well known mathematical constants, such as $π$ and the Catalan constant, and for mathematical functions, such as the Riemann zeta function. The series that we have found are all exponentially convergent and provide quite useful analytical approximations. With limited effort our method can be applied to obtain similar exponentially convergent series for a large class of mathematical functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
