摘要
对三向剖分平行六边形域上的二重Fourier级数提出一种新的线性求和法.通过构造一种特殊的求和因子,保证了由此得到的积分算子在全平面上一致地收敛到每个以平行六边形为周期的连续函数,且对光滑的被逼近函数,给出了算子的收敛阶估计.
A new method of linear summation of double Fourier series was put forward on a parallel hexagon associated with 3-directional partition. A specific summation factor was so constructed that an integral operator with the summation factor converged uniformly to any given continuous function with periodic domain Ω, where Ω is a parallel hexagon domain. Furthermore, the convergence order of the operator was presented for the smooth approached function.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2008年第5期816-824,共9页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:6067302160773098)
