Walsh equiconvergence for best -approximates
Weierstrass' theorem in weighted Sobolev spaces with derivatives: announcement of results.
Weierstrassova věta o aproximaci
Weierstraßscher Approximationssatz und Gleichverteilung.
Weighted -interpolation on the roots of the classical orthogonal polynomials.
Weighted Approximation by a Class of Bernstein-Type Operators
AMS classification: 41A36, 41A10, 41A25, 41Al7.
Weighted approximation of derivatives on the half-line.
Weighted polynomial approximation, quasianalyticity and analytic continuation.
Whitney type inequality, pointwise version
The main result of the paper estimates the asymptotic behavior of local polynomial approximation for functions at a point via the behavior of μ-differences, a generalization of the kth difference. The result is applied to prove several new and extend classical results on pointwise differentiability of functions including Marcinkiewicz-Zygmund’s and M. Weiss’ theorems. In particular, we present a solution of the problem posed in the 30s by Marcinkiewicz and Zygmund.