Title :
A summation formula for the finite sum of form such as Σƒ(i)ti
Author :
Chen, Xiaomin ; Lin, Ruiyue
Author_Institution :
Coll. of Math. & Inf. Sci., Wenzhou Univ., Wenzhou, China
Abstract :
In this paper, we discussed a kind of summation formula for the finite sum of form such as Σf(i)ti, which is based on two representations of a (n + 1) -th continuous differentiable function f(z) by the Bernoulli function or the Eulerian function. For f(z) be a polynomial in z of degree n, we educed an especial summation formula, which has wide applications in numerical calculation.
Keywords :
functions; polynomials; Bernoulli function; Eulerian function; continuous differentiable function; finite sum; numerical calculation; polynomial; summation formula; Algorithm design and analysis; Educational institutions; Electronic mail; Information science; Polynomials;
Conference_Titel :
Advanced Computational Intelligence (IWACI), 2010 Third International Workshop on
Conference_Location :
Suzhou, Jiangsu
Print_ISBN :
978-1-4244-6334-3
DOI :
10.1109/IWACI.2010.5585207
