Monotonicity of Quadrature Formulae of Gauss Type and Comparison Theorems for Monosplines.
Monotonicity results for a compound quadrature method for finite-part integrals.
Monotony in Interpolatory Quadratures.
Multiple Zeros and Applications to Optimal Linear Functionals.
Multiple-Precision Correctly rounded Newton-Cotes quadrature
Numerical integration is an important operation for scientific computations. Although the different quadrature methods have been well studied from a mathematical point of view, the analysis of the actual error when performing the quadrature on a computer is often neglected. This step is however required for certified arithmetics. We study the Newton-Cotes quadrature scheme in the context of multiple-precision arithmetic and give enough details on the algorithms and the error bounds to enable software...
New inequalities obtained by means of quadrature formulae.
New limit formulas for the convolution of a function with a measure and their applications.
New Minimality Properties of Gaussian Quadratures.
Note on Dragomir-Agarwal inequalities, the general Euler two-point formulae and convex functions.
Numerical Curvature Formulae with Preassigned Knots.
Numerical Integration by Means of Adapted Euler Summation Formulas.
Numerical Integration over a Semi-Infinite Interval, Using the Lognormal Distribution.
Numerical methods of computation of singular and hypersingular integrals.
On a new generalisation of Ostrowski's inequality.
On a New Type of Quadrature Formulas.
On a problem of Turán: (0, 2) quadrature formula with a high algebraic degree of precision.
On a Problem Proposed by H. Braß Concerning the Remainder Term in Quadrature for Convex Functions.
On Appel-type quadrature rules.
On Averaging Sets.
On Best Cubature Formulas and Spline Interpolation.