An anti-Gaussian quadrature formula is an (n + 1)-point formula of degree 2n - 1 which integrates polynomials of degree up to 2n + 1 with an error equal in magnitude ...
For analytic functions we study the remainder terms of Gauss quadrature rules with respect to Bernstein-Szegő weight functionsw(t)=wα,β,δ(t)=1+t1−tβ(β−2α)t2+2δ(β−2α)t+α2+δ2,t∈(−1,1),where 0 < 𝛼 < 𝛽, ...
Quadrature rules are mathematical techniques used to approximate the definite integral of a function. They are essential in numerical analysis and scientific computing, particularly when dealing with ...