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Some Applications of Generalized Taylor Series

机译:广义泰勒级数的一些应用

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Notion"generalized Taylor series" was introduced by Abraham Temkin (1919 - 2007). He proved that convolution of two functions is to be put into scries whose members are multiplication of derivatives of one function and integrals of other function. The article provides a numerical approach of calculating convolution, by applying generalized Taylor series. Calculations show that generalized Taylor series may be effectively applied for solving this and probably other problems.
机译:亚伯拉罕·特姆金(Abraham Temkin)(1919-2007)引入了“广义泰勒级数”概念。他证明了要把两个函数的卷积放到scries中,它们的成员是一个函数的导数和另一函数的积分的乘积。本文通过应用广义泰勒级数提供了一种计算卷积的数值方法。计算表明,广义泰勒级数可以有效地解决这一问题以及可能的其他问题。

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