Scopus
YÖKSİS Eşleşti
Certain positive linear operators with better approximation properties
Mathematical Methods in the Applied Sciences · Kasım 2019
YÖKSİS Kayıtları
Certain positive linear operators with better approximation properties
Mathematical Methods in the Applied Sciences · 2019 SCI-Expanded
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiMathematical Methods in the Applied Sciences
Yayın TarihiKasım 2019
Cilt / Sayfa42 · 5133-5142
Scopus ID2-s2.0-85052818437
Özet
The present paper deals with a new positive linear operator which gives a connection between the Bernstein operators and their genuine Bernstein-Durrmeyer variants. These new operators depend on a certain function τ defined on [0,1] and improve the classical results in some particular cases. Some approximation properties of the new operators in terms of first and second modulus of continuity and the Ditzian-Totik modulus of smoothness are studied. Quantitative Voronovskaja–type theorems and Grüss-Voronovskaja–type theorems constitute a great deal of interest of the present work. Some numerical results that compare the rate of convergence of these operators with the classical ones and illustrate the relevance of the theoretical results are given.
Yazarlar (4)
1
Augusta Raţiu
2
Ana Maria Acu
ORCID: 0000-0002-0488-1058
3
Tuncer Acar
4
Daniel Florin Sofonea
Anahtar Kelimeler
Ditzian-Totik modulus of smoothness
linear positive operators
Voronovskaja-type theorem
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Universitatea Lucian Blaga din Sibiu
Sibiu Romania