On sequences of JP King-type operators
Yükleniyor...
Dosyalar
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
HINDAWI LTD
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P. King who defined them, and they have been a source of inspiration for many scholars. In this paper we try to take stock of the situation and highlight the state of the art, hoping that this will be a useful tool for all people who intend to extend King's approach to some new contents within Approximation Theory. In particular, we recall the main results concerning certain King-type modifications of two well known sequences of positive linear operators, the Bernstein operators and the Szasz-Mirakyan operators.
Açıklama
Anahtar Kelimeler
sequences, JP King-type operators
Kaynak
JOURNAL OF FUNCTION SPACES
WoS Q Değeri
Q1
Scopus Q Değeri
Q3
Cilt
2019
Sayı
Special Issue
Künye
Acar, T., Cappelletti Montano, M., Garrancho, P., Leonessa, V. (2019). On Sequences of J. P. King-Type Operators. Journal of Function Spaces, 2019.
