On Acceleration Procedures of Some Slowly Convergent Infinite Summations

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概要

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• Acceleration procedures for slowly convergent infinite summations Σ^^∞__<k=1>f(k), where f(k) as a continuous function of k is either easily integrable or easily differentiable, are presented. They work when direct application of Euler-Maclaurin's summation formulae is tedious or impossible. One of our formulae shows that Brezinski's θ_2-transformation is an approximation of the main term of Euler-Maclaurin's formula.

• 一般社団法人情報処理学会の論文
• 1981-11-05

著者

• Sato Kohei

  Department Of Mathematical Engineering And Instrumentation Physics Faculty Of Engineering University Of Tokyo

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