A characterization of the approximation order for multivariate spline spaces
A saturation theorem for combinations of Bernstein-Durrmeyer polynomials
We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
Approximation by weighted polynomials in
We apply pluripotential theory to establish results in concerning uniform approximation by functions of the form wⁿPₙ where w denotes a continuous nonnegative function and Pₙ is a polynomial of degree at most n. Then we use our work to show that on the intersection of compact sections a continuous function on Σ is uniformly approximable by θ-incomplete polynomials (for a fixed θ, 0 < θ < 1) iff f vanishes on θ²Σ. The class of sets Σ expressible as the intersection of compact sections includes...
Approximation of double coset spaces
Characterization of saturation classes in
Das Saturationsverhalten spezieller Summationsverfahren auf kompakten Gruppen.
Limits of Certain Iterates of Post-Widder Operators.
Linear approximation processes in locally convex spaces. I. Semigroups of operators and saturation.
Lipschitz-Nikolskii constants and asymptotic simultaneous approximation of the Mn-operators. (Short Communication).
Lipschitz-Nikolskii constants and asymptotic simultaneous approximation of the Mn-operators.
Lototsky-Schnabl Operators Associated with a Strictly Elliptic Differential Operator and Their Corresponding Feller Semigroup.
On Best Error Bounds for Approximation by Piecewise Polynomial Functions.
On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach space. Saturation of such...
On the best approximation properties of -smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods).
Polynomial approximation and twenty years later.
-parametric Bleimann Butzer and Hahn operators.
Saturation auf kompakten Gruppen und kompakten symmetrischen Räumen.
Saturation for Farvard operators in weighted function spaces
Saturation on Locally Compact Abelian Groups.
Saturation on Locally Compact Abelian Groups: An Extended Theorem.