Approximation results by multivariate sampling Kantorovich series in Musielak-Orlicz spaces
| Title | Approximation results by multivariate sampling Kantorovich series in Musielak-Orlicz spaces |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Costarelli, D, Vinti, G |
| Journal | Dolomites Research Notes on Approximation |
| Volume | 12 |
| Issue | 1 |
| Pagination | 7-16 |
| Date Published | 03/2019 |
| Publisher | Padova University Press |
| Place Published | Padova, IT |
| ISSN Number | 2035-6803 |
| Keywords | approximation results, modular convergence, Musielak-Orlicz spaces, Orlicz spaces, sampling Kantorovich series |
| Abstract | In this paper we study the theory of the so-called multivariate sampling Kantorovich operators in the general frame of the Musielak-Orlicz spaces. The main result in this context is a modular convergence theorem, that can be proved by density arguments. Several concrete cases of Musielak-Orlicz spaces and of kernel functions are presented and discussed. |
| URL | https://drna.padovauniversitypress.it/2019/1/2 |
| DOI | 10.14658/pupj-drna-2019-1-2 |
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