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Niels Henrik Abel(1802～1829)是挪威数学家,近代数学发展的先驱者.Abel 在数学方面的成就是多方面的,其中与中学数学有关的主要是 Abel 分部求和公式.利用 Abel 分部求和公式可较好地解决一些较复杂的数列求和、数列不等式综合问题.有些著名的不等式,如钟开莱不等式,切比雪夫不等式等都可运用 Abel 分部求和公式证明.对于涉及两个数列的对应项之积的和的问题,利用 Abel 分部求和公式更是“如鱼得水”.
Niels Henrik Abel (1802～1829) is a Norwegian mathematician and a pioneer in the development of modern mathematics. Abel’s achievements in mathematics are manifold, and among them, the mathematics related to middle school mathematics is mainly the Abel Division summation formula. Using the Abel Division The sum formula can be used to better solve some complex problems of series sums and series inequalities. Some well-known inequalities, such as Zhong Kailai’s inequality, Chebyshev’s inequality, etc., can be proved using the Abel subsection sum formula. The problem of the sum of the product of the corresponding items of two series is more likely to be obtained by using Abel’s summation formula.