Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Approximation properties of multivariate exponential sampling series
Carpathian Mathematical Publications · Aralık 2021
YÖKSİS Kayıtları
Approximation properties of multivariate exponential sampling series
Carpathian Mathematical Publications · 2021 E-SCI
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Makale Bilgileri
DergiCarpathian Mathematical Publications
Yayın TarihiAralık 2021
Cilt / Sayfa13 · 666-675
Scopus ID2-s2.0-85122221173
Erişim🔓 Açık Erişim
Özet
In this paper, we generalize the family of exponential sampling series for functions of n variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of log-uniformly continuous functions. Furthermore, we state and prove the generalized Mellin-Taylor’s expansion of multivariate functions. Using this expansion we establish pointwise asymptotic behaviour of the series by means of Voronovskaja type theorem.
Yazarlar (4)
1
Sadettin Kursun
ORCID: 0000-0001-6697-9627
2
M. Turgay
3
Osman Alagöz
ORCID: 0000-0002-0587-460X
4
Tuncer Acar
Anahtar Kelimeler
Multivariate exponential sampling series
Multivariate Mellin-Taylor formula
Rate of convergence
Voronovskaja type theorem
Kurumlar
Bilecik Şeyh Edebali Üniversitesi
Bilecik Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
12
Atıf
4
Yazar
4
Anahtar Kelime