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A note on generalized averaged Gaussian formulas for a class of weight functions
(Springer, Dordrecht, 2020)
In the recent paper Notaris (Numer. Math., 142:129-147,2019) it has been introduced a new and useful class of nonnegative measures for which the well-known Gauss-Kronrod quadrature formulae coincide with the generalized ...
Averaged cubature schemes on the real positive semiaxis
(Springer, 2022)
Stratified cubature rules are proposed to approximate double integrals defined on the real positive semiaxis. In particular, anti-Gauss cubature formulae are introduced and averaged cubature schemes are developed. Some of ...
On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
(Springer, Dordrecht, 2022)
In this paper, we consider the Gauss-Kronrod quadrature formulas for a modified Chebyshev weight. Efficient estimates of the error of these Gauss-Kronrod formulae for analytic functions are obtained, using techniques of ...
The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-SzegoIi type
(Springer, Dordrecht, 2018)
We consider the Gauss-Kronrod quadrature formulae for the Bernstein-SzegoIi weight functions consisting of any one of the four Chebyshev weights divided by the polynomial . For analytic functions, the remainder term of ...