Das Saturationsverhalten spezieller Summationsverfahren auf kompakten Gruppen.
Degree of Best Approximation by Trigonometric Blending Functions.
Degree Of Convergence Of Quasi-Hermite-Fejér Interpolation
Diagonal Padé approximants to hyperelliptic functions
Die Güte der Lp-Approximation durch Kantorovic-Polynome.
Direct and Converse Theorems for Generalized Bernstein-Type Operators
2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators. The direct estimate is given using a K-functional and the inverse result is a strong converse inequality of type A, in the terminology of [2].
Direct approximation theorems for discrete type operators.
Direct results for certain family of integral type operators.
Direct results for mixed Beta-Szász type operators.
Discrete linear interpolatory operators.
Discrete, Nonlinear Approximation Problems in Polyhedral Norms.
Discrete, Nonlinear Approximation Problems in Polyhedral Norms. A Levenberg-Like Algorithm.
Distortion mismatch in the quantization of probability measures
We elucidate the asymptotics of the Ls-quantization error induced by a sequence of Lr-optimal n-quantizers of a probability distribution P on when s > r. In particular we show that under natural assumptions, the optimal rate is preserved as long as s < r+d (and for every s in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on and on the Wiener space.