Makale detayı · 2022
Approximation by sampling Kantorovich series in weighted spaces of functions
Turkish Journal of Mathematics
- Yıl
- 2022
- ISSN
1300-0098- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
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Özet
İngilizce (OpenAlex)
This paper studies the convergence of the so-called sampling Kantorovich operators for functions belonging to weighted spaces of continuous functions. This setting allows us to establish uniform convergence results for functions that are not necessarily uniformly continuous and bounded on $\mathbb{R}$. In that context we also prove quantitative estimates for the rate of convergence of the family of the above operators in terms of weighted modulus of continuity. Finally, pointwise convergence results in quantitative form by means of Voronovskaja type theorems have been also established.
Konular
- Approximation Theory and Sequence Spaces
Birincil konu Approximation Theory and Sequence Spaces