二重Fourier级数的平行六边形求和法  

Parallel Hexagon's Summation Methods of Double Fourier Series of Functions

作　　者：王淑云[1] 钱李新[1] 孙雪楠 梁学章[3] 沈卫平[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004 [2]长北师范大学数学与统计学院,长春130024 [3]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2011年第6期973-978,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:60773098);浙江省自然科学基金(批准号:Y6100375)

摘　　要：将线性求和法应用于三向剖分平行六边形域上二重Fourier级数的平行六边形截断,提出一种平行六边形求和法.通过构造一个新的收敛因子得到一个积分算子,并证明了该积分算子对于以平行六边形域为周期的二元连续函数的一致收敛性.Linear summation method was applied to the truncations on parallel hexagon of double Fourier series associating with three,directional coordinates. The parallel hexagon＇ s summation of double Fourier series of a function was putted forward. A specific convergence factor was constructed. A linear integral operator with the convergence factor was obtained. It has been ＇proved that the operator converges uniformly to any given continuous double function with periodic domain Ω, where Ω is a parallel hexagon domain.

关 键 词：平行六边形求和法 收敛因子 三向坐标 一致收敛 

分 类 号：O174.21[理学—数学]