(1) Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan
Abstract:
Sharp estimates (in the power scale) are obtained for the discretization error in the solutions to Poisson’s equation whose right-hand side belongs to a Korobov class. Compared to the well-known Korobov estimate, the order is almost doubled and has an ultimate value in the power scale.