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, ...
We present a simple numerical method for constructing the optimal (generalized) averaged Gaussian quadrature formulas which are the optimal stratified extensions of Gauss quadrature formulas. These ...
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 ...