Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Convergence of generalized sampling series in weighted spaces
Demonstratio Mathematica · Ocak 2022
YÖKSİS Kayıtları
Convergence of generalized sampling series in weighted spaces
Demonstratio Mathematica · 2022 SCI-Expanded
ARAŞTIRMA GÖREVLİSİ METİN TURGAY →
Makale Bilgileri
DergiDemonstratio Mathematica
Yayın TarihiOcak 2022
Cilt / Sayfa55 · 153-162
Scopus ID2-s2.0-85131212096
Erişim🔓 Açık Erişim
Özet
The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces. A rate of convergence by means of weighted moduli of continuity is presented and a quantitative Voronovskaja-type theorem is obtained.
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
generalized sampling operators
quantitative order of approximation
Voronovskaja-type theorem
weighted modulus of continuity
weighted spaces
Kurumlar
Bilecik Şeyh Edebali Üniversitesi
Bilecik Turkey
Kirikkale Üniversitesi
Kirikkale Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Università degli Studi di Perugia
Perugia Italy
Metrikler
18
Atıf
6
Yazar
5
Anahtar Kelime