3 papers
math.NA2023
Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind
Luisa Fermo, Lothar Reichel, Giuseppe Rodriguez +1
Fredholm integral equations of the second kind that are defined on a finite or infinite interval arise in many applications. This paper discusses Nyström methods based on Gauss qua…
math.NA2018
The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
Ramon Orive, Aleksandar V. Pejcev, Miodrag M. Spalevic
In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of anyone of the four Chebyshev weights, considered by Gautschi and Li in \cite{gauli}.…
math.NA2018
Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
Aleksandar V. Pejcev, Miodrag M. Spalevic
Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well known Micchelli-Rivlin quadrature formula, when the integr…