Approximating the finite Hilbert transform via an Ostrowski type inequality for functions of bounded variation.
Approximation of the Stieltjes integral and applications in numerical integration
Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications to the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.
Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula.
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals.
Asymptotic expressions for remainder terms of some quadrature rules
Asymptotic expressions for remainder terms of the mid-point, trapezoid and Simpson’s rules are given. Corresponding formulas with finite sums are also given.
Asymptotic Minimum Norm Quadrature Formulae.
Asymptotics for the remainder of a class of positive quadratures for integrands with an interior singularity.
Bases de type Schauder de C [0,1] et formules de quadrature associées.
Beste Quadraturformeln für Integrale mit einer Gewichtsfunktion.
Calculating a class of integrals encountered in theoretical chemistry
Calculating Singular Integrals as an Ill-posed Problem.
Calculation of Gauss Quadratures with Multiple Free and Fixed Knots
Calculation of the Weights of Interpolarory Quadratures
Characteristic functions and -orthogonality properties of Chebyshev polynomials of third and fourth kind.
Characterization of the Speed of Convergence of the Trapezoidal Rule.
Comparison of Optimal Quadrature Formulas.
Comparison Theorems for Compound Quadrature Formulas.
Comparison Theorems for L-Monosplines of Minimal Norm.
Computation of Gauss-Kronrod quadrature rules with non-positive weights.
Computation of Poisson type integrals.