Scopus
YÖKSİS Eşleşti
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions
Numerical Functional Analysis and Optimization · Ocak 2022
YÖKSİS Kayıtları
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions
Numerical Functional Analysis and Optimization · 2022 SCI-Expanded
ARAŞTIRMA GÖREVLİSİ METİN TURGAY →
Makale Bilgileri
DergiNumerical Functional Analysis and Optimization
Yayın TarihiOcak 2022
Cilt / Sayfa43 · 1223-1239
Scopus ID2-s2.0-85133824115
Özet
The present article deals with local and global approximation behaviors of sampling Durrmeyer operators for functions belonging to weighted spaces of continuous functions. After giving some fundamental notations of sampling type approximation methods and presenting well definiteness of the operators on weighted spaces of functions, we examine pointwise and uniform convergence of the family of operators and determine the rate of convergence via weighted modulus of continuity. A quantitative Voronovskaja theorem is also proved in order to obtain rate of pointwise convergence and upper estimate for this convergence. The last section is devoted to some numerical evaluations of sampling Durrmeyer operators with suitable kernels.
Yazarlar (4)
1
Osman Alagöz
ORCID: 0000-0002-0587-460X
2
Metin Turgay
ORCID: 0000-0002-1953-1069
3
Tuncer Acar
4
Merve Parlak
Anahtar Kelimeler
quantitative Voronovskaja theorem
rate of convergence
sampling Durrmeyer operators
uniform convergence
weighted spaces
Kurumlar
Bilecik Şeyh Edebali Üniversitesi
Bilecik Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
14
Atıf
4
Yazar
5
Anahtar Kelime