Scopus
YÖKSİS Eşleşti
Approximation Properties of Exponential Sampling Series in Logarithmic Weighted Spaces
Bulletin of the Iranian Mathematical Society · Haziran 2024
YÖKSİS Kayıtları
Approximation Properties of Exponential Sampling Series in Logarithmic Weighted Spaces
Bulletin of the Iranian Mathematical Society · 2024 SCI-Expanded
PROFESÖR ÖZLEM ACAR →
Makale Bilgileri
DergiBulletin of the Iranian Mathematical Society
Yayın TarihiHaziran 2024
Cilt / Sayfa50
Scopus ID2-s2.0-85191046118
Özet
In this paper, we investigate the approximation properties of exponential sampling series within logarithmically weighted spaces of continuous functions. Initially, we demonstrate the pointwise and uniform convergence of exponential sampling series in weighted spaces and present the rates of convergence via a suitable modulus of continuity in logarithmic weighted spaces. Subsequently, we establish a quantitative representation of the pointwise asymptotic behavior of these series using Mellin–Taylor’s expansion. Finally, it is given some examples of kernels and numerical evaluations.
Yazarlar (3)
1
Tuncer Acar
2
Sadettin Kursun
ORCID: 0000-0001-6697-9627
3
Özlem Acar
Anahtar Kelimeler
30D10
41A25
41A35
94A20
Exponential sampling series
Logarithmic modulus of continuity
Quantitative Voronovskaja-type formula
Weighted approximation
Kurumlar
Milli Savunma Üniversitesi
Istanbul Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
1
Atıf
3
Yazar
8
Anahtar Kelime