Quadrature formulae with free nodes for periodic functions
The problem of existence of uniqueness of a quadrature formula with maximal trigonometric degree of precision for periodic functions with fixed number of free nodes of fixed different multiplicities at each node is considered. The explicit expression for the quadrature formulae with maximal trigonometric degree of precision in the 2-periodic case of multiplicities is obtained. An error analysis for the quadrature with maximal trigonometric degree of precision is given.
maximal trigonometric degree of precision
scientific article; zbMATH DE number 606966
scientific article