Convergence of sampling Kantorovich operators in modular spaces with applications
| العنوان: | Convergence of sampling Kantorovich operators in modular spaces with applications |
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| المؤلفون: | Gianluca Vinti, Danilo Costarelli |
| المصدر: | Rendiconti del Circolo Matematico di Palermo Series 2. 70:1115-1136 |
| بيانات النشر: | Springer Science and Business Media LLC, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Modular spaces, business.industry, General Mathematics, Approximation results, 010102 general mathematics, Sampling (statistics), Musielak–Orlicz spaces, Orlicz spaces, Modular design, 01 natural sciences, 010101 applied mathematics, Algebra, Sampling Kantorovich series, Convergence (routing), 0101 mathematics, Algebra over a field, business, Interpolation, Mathematics |
| الوصف: | In the present paper we study the so-called sampling Kantorovich operators in the very general setting of modular spaces. Here, modular convergence theorems are proved under suitable assumptions, together with a modular inequality for the above operators. Further, we study applications of such approximation results in several concrete cases, such as Musielak–Orlicz and Orlicz spaces. As a consequence of these results we obtain convergence theorems in the classical and weighted versions of the $$L^p$$ L p and Zygmund (or interpolation) spaces. At the end of the paper examples of kernels for the above operators are presented. |
| تدمد: | 1973-4409 0009-725X |
| DOI: | 10.1007/s12215-020-00544-z |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aba162119f77a15ac3d0e8c5062dcc38 https://doi.org/10.1007/s12215-020-00544-z |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....aba162119f77a15ac3d0e8c5062dcc38 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 19734409 0009725X |
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| DOI: | 10.1007/s12215-020-00544-z |