Truncated error estimate on sampling theorem
Yi Hu · Journal of the Graduate School of the Chinese Academy of Sciences · 2008
In this paper we discuss the truncated error estimate on Shannon sampling theorem of bandlimited functions.We mainly focus on error of pointwise type,uniform type and integral type.In pointwise type,we use the method of calculating Dirichlet kernel and obtain the order O[1/N];in uniform and integral type,by calculating the decaying condition imposed on the function,we can get the uniform and integral estimate.