Convergence of certain nonlinear counterpart of the Bernstein operators
Yükleniyor...
Dosyalar
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The present paper concerns with the nonlinear Bernstein operators NB(n)f of the form (NB(n)f) (x) = Sigma(n)(k=0) P-n,P-k (x,f (k/n) ) , 0 <= x <= 1 , n is an element of N, acting on bounded functions on an interval [0, 1] , where P-n,P-k satisfy some suitable assumptions. As a continuation of the very recent paper of the authors [13], we establish some pointwise convergence results for these type operators on the interval [0, 1].
Açıklama
Anahtar Kelimeler
Nonlinear Bernstein Operators, Bounded Variation, (L - psi) Lipschitz Condition, Pointwise Convergence
Kaynak
Communications Faculty Of Sciences University Of Ankara-Series A1 Mathematics And Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
64
Sayı
1
