CAJ | 학술논문

揭示了将调和级数减去对数项以后就能收敛的本质，从这一个案例出发提炼出了一般做法，命名为“欧拉收敛技术冶。将欧拉收敛技术应用到一大类发散级数上，构造出了新的收敛级数，并且得出与欧拉常数类似的正实数集合，称为“广义欧拉常数族冶。给出广义欧拉常数族中几个典型的数值算例。
게시료장조화급수감거대수항이후취능수렴적본질，종저일개안례출발제련출료일반주법，명명위“구랍수렴기술야。장구랍수렴기술응용도일대류발산급수상，구조출료신적수렴급수，병차득출여구랍상수유사적정실수집합，칭위“엄의구랍상수족야。급출엄의구랍상수족중궤개전형적수치산례。
This paper reveals the convergence nature of a logarithm item subtracted from harmonic series. A general method was extracted from this special case to be nominated as the Euler's convergence technique. Moreover, the Euler's convergence technique in many exhale series is used to construct new convergence series. Then, a set of positive real number is obtained and named as the generalized Euler'constant family. Finally, typical numerical experiments were given to show the computational results of the generalized Euler' constant family.