Quadrature formulas of quasi-interpolation type for singular integrals with Hilbert kernel
Some quadrature formulas for singular integrals with Hilbert kernel, periodic kernel density and a weight function are established. Similar ones for proper integrals are derived first and then those for singular integrals are obtained by separating the singularities. The remainders of these formulaes are also estimated and then some convergence theorems are achieved.
scientific article; zbMATH DE number 1197080
scientific article