Linear Summation of Double Fourier Series on a Parallel Hexagon Domain
Sun Yi · Journal of Jilin University(Science Edition) · 2008
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.