Approximation of \((\psi,\beta)\)-differentiable functions defined on the real axis by Weierstrass operators. (Ukrainian, English) Zbl 1150.41332
Ukr. Mat. Zh. 59, No. 9, 1201-1220 (2007); translation in Ukr. Math. J. 59, No. 9, 1342-1363 (2007).
Summary: We obtain asymptotic equalities for the upper bounds of approximations by Weierstrass operators on the functional classes \(\hat{C}^{\psi}_{\beta,\infty}\) and \(\hat{L}^{\psi}_{\beta,1}\) in the metrics of the spaces \(\hat{C}\) and \(\hat{L}_1\) respectively.
MSC:
| 41A35 | Approximation by operators (in particular, by integral operators) |
