In certain spaces of analytic functions the error term of a quadrature formula is a bounded
linear functional. We give a survey of the methods used in order to compute explicitly, or in …

We study the error of Gauss--Turán quadrature formulae when functions which are analytic
on a neighborhood of the set of integration are considered. A computable upper bound of …

We present a method based on the Chakalov–Popoviciu quadrature formula of Lobatto type,
a rather general case of quadrature with multiple nodes, for approximating integrals defined …

We continue with analyzing quadrature formulas of high degree of precision for computing
the Fourier coefficients in expansions of functions with respect to a system of orthogonal …

This survey on quadrature processes and their applications is an extended version of my
public lecture given in the Serbian Academy of Sciences and Arts under the same title and it …

The paper deals with new contributions to the theory of the Gauss quadrature formulas with
multiple nodes that are published after 2001, including numerical construction, error …

This paper is concerned with bounds on the remainder term of the Gauss–Turán quadrature
formula, whereUn− 1 denotes the (n− 1) th degree Chebyshev polynomial of the second …

It is well-known that the remaining term of an-point Gaussian quadrature depends on the 2 n-
order derivative of the integrand function. Discounting the fact that calculating a 2 n-order …

This note is concerned with estimates for the remainder term of the Gauss–Turán quadrature
formula, where w (t)=(Un-1 (t)/n) 21-t2 is the Gori–Michelli weight function, with Un-1 (t) …

Numerical integration refers to the procedure of approximating a definite integral of a given
function. The n-point quadrature formula (qf) is utilized in this context, employing a positive …