Some approximation properties by a class of bivariate operators
Yükleniyor...
Dosyalar
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
WILEY
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Starting with the well-known Bernstein operators, in the present paper, we give a new generalization of the bivariate type. The approximation properties of this new class of bivariate operators are studied. Also, the extension of the proposed operators, namely, the generalized Boolean sum (GBS) in the Bogel space of continuous functions is given. In order to underline the fact that in this particular case, GBS operator has better order of convergence than the original ones, some numerical examples are provided with the aid of Maple soft. Also, the error of approximation for the modified Bernstein operators and its GBS-type operator are compared.
Açıklama
Anahtar Kelimeler
Bernstein operators, GBS-type operators, modulus of continuity
Kaynak
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
42
Sayı
16
Künye
Acu, A. M., Acar, T., Muraru, C. V., Radu, V. A. (2019). Some Approximation Properties by a Class of Bivariate Operators. Mathematical Methods in the Applied Sciences, 42(16), 5551-5565.
