Multivariate moment type operators: approximation properties in Orlicz spaces. (English) Zbl 1152.41308
Summary: In this paper modular convergence theorems in Orlicz spaces for multivariate extensions of the one-dimensional moment operator are given and the order of modular convergence in modular Lipschitz classes is studied.
MSC:
| 41A35 | Approximation by operators (in particular, by integral operators) |
| 47G10 | Integral operators |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
