summation formula

By using the improved Euler-Maclaurin's summation formula and estimating the weight coefficient accurately, one builds a reverse form of the Hardy-Hilbert's type inequality with a best constant factor. As applications, an equivalent form is given.

应用改进的Euler-Maclaurin求和公式，通过精确估算权系数，建立了一个Hardy-Hilbert型不等式的具有最佳常数因子的逆向形式.作为应用，给出了它的一个等价形式。

In this aper, a kind of quadrature formulas are constructed by using the Euler Maclaurin summation formula.

本文利用Euler-Maclaurin求和公式构造了一类求积公式，称为修正复合梯形公式。

A fundamental method for designing the synchronous parallel algorithm, the bisection method, is suggested and its applications such as those in the summation of sequence of numbers, the evaluation of polynomials, and the calculation of the final value of recursion formula, are described.

本文介绍设计同步并行算法的一种基本方法&二分算法，阐述这种设计方法在数列求和、多项式求值，递推公式求终值等基本计算问题中的应用。

Euler ′ s summation formula is an extremely important formula. This paper first introduces Euler ′ s summation formula, after that it gives some application in asymptotic estimate.

Euler求和公式是数论中的一个非常重要的公式.本文首先介绍Euler求和公式，然后给出它在渐近估计方面的一些应用。

The formula of finite summation of K Steps arithmetic progression is seeked out by using the summation function of power series.

用幂级数和函数的思想来给出阶等差数列求有限和的公式。

A research on natural number power summation formula and the contained factors

自然数方幂求和公式及所含因式的研究