Optimal Nodes for Interpolation in Hardy Spaces.
Optimal nonlinear approximation.
Optimal polygonal interpolation
Optimal problems concerning interpolation methods of solution of equations.
Optimal quadratic interpolatory splines on general knotset
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 reconstruction of derivatives on the Sobolev classes.
Optimal recovery of analytic functions by their values in a uniform grid on a circle.
Optimal Rules with Polynomial Precision for Hilbert Spaces Possessing Reproducing Kernel 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 linearer Funktionale auf periodischen Funktionen.
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].
Optimale Quadraturformeln mit semidefiniten Peano-Kernen. - Optimal Integration Formulas with Semidefinite Peano-Kernels.
Optimality of the range for which equivalence between certain measures of smoothness holds
Recently it was proved for 1 < p < ∞ that , a modulus of smoothness on the unit sphere, and , a K-functional involving the Laplace-Beltrami operator, are equivalent. It will be shown that the range 1 < p < ∞ is optimal; that is, the equivalence does not hold either for p = ∞ or for p = 1.