Abstract. Error estimations for the Milne’s rule for mappings of bounded variation and for absolutely continuous mappings whose first derivatives are belong to Lp[a, b] (1 < p ≤ ∞), are established. Some numerical applications are provided. 1
Some inequalities and approximations for the finite Hilbert transform by the use of Taylor’s formula...
A posteriori error estimation methods are usually developed in the context of upper and lower bound...
We investigate the remainder R_(2n+1) pf (minimum node) extended Gaussian quadrature formulae Q_(2n+...
The corrected quadrature rules are considered and the estimations of error involving the second deri...
AbstractFor the numerical approximation of Cauchy principal value integrals, we consider the so-call...
For the numerical approximation of Cauchy principal value integrals, we consider so-called modified ...
AbstractLet Rn be the error functional of a quadrature formula Qn on [−1,1] using n nodes. In this p...
A theoretical error estimate for quadrature formulas, which depends on four approximations of the in...
In this paper we point out an approximation for the Fourier transform\ud for functions of bounded va...
Abstract. In this paper we point out an approximation for the Fourier transform for functions of bou...
In this research, some new and efficient quadrature rules are proposed involving the combination of ...
A straightforward three-point quadrature formula of closed type is derived that improves on Simpson’...
We present a new quadrature rule based on the spline interpolation along with the error analysis. Mo...
AbstractFollowing the main ideas of X.H. Wang [Remarks on some quadrature formulas, Math. Numer. Sin...
[[abstract]]An estimation of remainder for two-point Newton-Cotes quadrature formula for mappings of...
Some inequalities and approximations for the finite Hilbert transform by the use of Taylor’s formula...
A posteriori error estimation methods are usually developed in the context of upper and lower bound...
We investigate the remainder R_(2n+1) pf (minimum node) extended Gaussian quadrature formulae Q_(2n+...
The corrected quadrature rules are considered and the estimations of error involving the second deri...
AbstractFor the numerical approximation of Cauchy principal value integrals, we consider the so-call...
For the numerical approximation of Cauchy principal value integrals, we consider so-called modified ...
AbstractLet Rn be the error functional of a quadrature formula Qn on [−1,1] using n nodes. In this p...
A theoretical error estimate for quadrature formulas, which depends on four approximations of the in...
In this paper we point out an approximation for the Fourier transform\ud for functions of bounded va...
Abstract. In this paper we point out an approximation for the Fourier transform for functions of bou...
In this research, some new and efficient quadrature rules are proposed involving the combination of ...
A straightforward three-point quadrature formula of closed type is derived that improves on Simpson’...
We present a new quadrature rule based on the spline interpolation along with the error analysis. Mo...
AbstractFollowing the main ideas of X.H. Wang [Remarks on some quadrature formulas, Math. Numer. Sin...
[[abstract]]An estimation of remainder for two-point Newton-Cotes quadrature formula for mappings of...
Some inequalities and approximations for the finite Hilbert transform by the use of Taylor’s formula...
A posteriori error estimation methods are usually developed in the context of upper and lower bound...
We investigate the remainder R_(2n+1) pf (minimum node) extended Gaussian quadrature formulae Q_(2n+...