Scopus
YÖKSİS Eşleşti
On Szász–Mirakyan Operators Preserving e<sup>2</sup><sup>a</sup><sup>x</sup>, a>0
Mediterranean Journal of Mathematics · Şubat 2017
YÖKSİS Kayıtları
On Szász Mirakyan Operators Preserving {e{2ax}}
Mediterranean Journal of Mathematics · 2017 SCI-Expanded
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiMediterranean Journal of Mathematics
Yayın TarihiŞubat 2017
Cilt / Sayfa14
Scopus ID2-s2.0-85007421310
Özet
A modification of Szász–Mirakyan operators is presented that reproduces the functions 1 and e2ax, a> 0 fixed. We prove uniform convergence, order of approximation via a certain weighted modulus of continuity, and a quantitative Voronovskaya-type theorem. A comparison with the classical Szász–Mirakyan operators is given. Some shape preservation properties of the new operators are discussed as well. Using a natural transformation, we also present a uniform error estimate for the operators in terms of the first- and second-order moduli of smoothness.
Yazarlar (3)
1
Tuncer Acar
2
Ali Aral
ORCID: 0000-0002-2024-8607
3
Heiner Gonska
Anahtar Kelimeler
King operators
Szász–Mirakyan operators
Uniform convergence
Weighted modulus of continuity
Kurumlar
Kirikkale Üniversitesi
Kirikkale Turkey
Universität Duisburg-Essen
Duisburg Germany
Metrikler
79
Atıf
3
Yazar
4
Anahtar Kelime