On the Weights of Certain Quadratures for the Numerical Evaluation of Cauchy Principal Value Integrals and Their Derivatives.
On two problems posed by Kenneth Stolarsky.
On Weight Functions for Chebyshev Quadrature.
On weighted Ostrowski type inequalities for operators and vector-valued functions.
Open problems in constructive function theory.
Optimal Addition of Knots to Cubature Formulae for Planar Regions.
Optimal and Sard approximation
Optimal Convergence of Minimum Norm Approximations in Hp.
Optimal cubature formulas in a reflexive Banach space
Sequences of cubature formulas with a joint countable set of nodes are studied. Each cubature formula under consideration has only a finite number of nonzero weights. We call a sequence of such kind a multicubature formula. For a given reflexive Banach space it is shown that there is a unique optimal multicubature formula and the sequence of the norm of optimal error functionals is monotonically decreasing to 0 as the number of the formula nodes tends to infinity.
Optimal methods of integration in the class of differentiable functions
Optimal Quadrature Algorithms in Hp Spaces.
Optimal Quadrature Formula of Markov's and Locher's Type with Weight Function
Optimal quadrature formulas in integral varieties.
Optimal quadrature formulas in the sense of Nikolski.
Optimal Quadrature of Hp Functions.
Optimal Rules with Polynomial Precision for Hubert Spaces Possessing Reproducing Kernel Functions. II. Error Bounds.
Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions
Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf periodischen Funktionen. - Optimal Approximation with Side Conditions to Linear Functionals on Periodic Functions.
Optimale Differentiations- und Integrationsformeln in C0 [a, b]. - Optimal Differentiation and Integration Formulas in C0 [a, b].
Orthogonal Laurent polynomials and quadratures on the unit circle and the real half-line.