Scopus
Voronovskaya type results for Bernstein-Chlodovsky operators preserving e<sup>−2x</sup>
Journal of Mathematical Analysis and Applications · Kasım 2020
Makale Bilgileri
DergiJournal of Mathematical Analysis and Applications
Yayın TarihiKasım 2020
Cilt / Sayfa491
Scopus ID2-s2.0-85086723250
Özet
In this paper we continue the study of certain Bernstein-Chlodovsky operators Bn⁎ preserving the exponential function e−2x (x≥0), recently introduced in [4]. In particular, we prove some Voronovskaya type theorems and we deduce some properties of the Bn⁎'s, such as saturation results. We also compare this new class of operators with the classical Bernstein-Chlodovsky ones, proving that the operators Bn⁎ provide better approximation results for certain functions.
Yazarlar (4)
1
Tuncer Acar
2
Mirella Cappelletti Montano
3
Pedro Garrancho
4
Vita Leonessa
Anahtar Kelimeler
Modified Bernstein-Chlodovsky operators
Positive operators
Saturation
Voronovskaya type theorem
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Universidad de Jaén
Jaen Spain
Università degli Studi della Basilicata
Potenza Italy
Università degli studi di Bari Aldo Moro
Bari Italy
Metrikler
17
Atıf
4
Yazar
4
Anahtar Kelime