• DocumentCode
    2318393
  • 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
  • fYear
    2010
  • fDate
    25-27 Aug. 2010
  • Firstpage
    396
  • Lastpage
    398
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Computational Intelligence (IWACI), 2010 Third International Workshop on
  • Conference_Location
    Suzhou, Jiangsu
  • Print_ISBN
    978-1-4244-6334-3
  • Type

    conf

  • DOI
    10.1109/IWACI.2010.5585207
  • Filename
    5585207