Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Approximation by sampling Kantorovich series in weighted spaces of functions
Turkish Journal of Mathematics · Ocak 2022
YÖKSİS Kayıtları
Approximation by sampling Kantorovich series in weighted spaces of functions
Turkish Journal of Mathematics · 2022 SCI-Expanded
ARAŞTIRMA GÖREVLİSİ METİN TURGAY →
Makale Bilgileri
DergiTurkish Journal of Mathematics
Yayın TarihiOcak 2022
Cilt / Sayfa46 · 2663-2676
Scopus ID2-s2.0-85138629517
Erişim🔓 Açık Erişim
Özet
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 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
Yazarlar (6)
1
Tuncer Acar
2
Osman Alagöz
ORCID: 0000-0002-0587-460X
3
Ali Aral
ORCID: 0000-0002-2024-8607
4
Danilo Costarelli
ORCID: 0000-0001-8834-8877
5
Metin Turgay
ORCID: 0000-0002-1953-1069
6
Gianluca Vinti
ORCID: 0000-0002-9875-2790
Anahtar Kelimeler
Asymptotic formulas
Generalized sampling series
Pointwise and uniform convergence
Sampling kantorovich operators
Weighted approximation
Kurumlar
Bilecik Şeyh Edebali Üniversitesi
Bilecik Turkey
Kirikkale Üniversitesi
Kirikkale Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Università degli Studi di Perugia
Perugia Italy
Metrikler
16
Atıf
6
Yazar
5
Anahtar Kelime