“Abel’s partial summation formula”的概念、定义、翻译、参考文献-科学参考

单词	Abel’s partial summation formula
释义	Abel’s partial summation formula Mathematics For two arbitrary sequences ${a_{k}}$ and ${b_{k}}$ with $A_{k} = \sum_{r = 1}^{k} a_{r}$ , the result that $\sum_{r = j}^{k} a_{r} b_{r} = \sum_{r = j}^{k} A_{j} (b_{j} - b_{j + 1}) + A_{k} b_{k + 1} -$ $A_{j - 1} b_{j}$ . This has some similarities with the formula for integration by parts.
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