Pointwise rates of convergence for the collocation method applied to periodic singular integral equations and pseudodifferential equations are considered, using trigonometric polynomials of degree n ...

The error bounds obtained are illustrated numerically for two examples--an integral representation for the Bessel function of order zero, and an integral related to the complex exponential integral.

Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...