Some approximation properties of a certain nonlinear Bernstein operators
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Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present paper concerns with a certain sequence of nonlinear Bernstein operators NB(n)f of the form (NB(n)f)(x) = Sigma(n)(k=0) P-k,P-n (x, f(k/n)) , 0 <= x <= 1; n is an element of N, acting on bounded functions on an interval [0,1], where P-k,P-n satisfy some suitable assumptions. We will also investigate the pointwise convergence of this operators in some functional spaces. As a result, this study can be considered as an extension of the results dealing with the linear Bernstein Polynomials. As far as we know this kind of study is the first one on the nonlinear Bernstein approximation operators.
Açıklama
Anahtar Kelimeler
Nonlinear Bernstein Operators, Bounded Variation, (L - psi) Lipschitz Condition, Pointwise Convergence
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
28
Sayı
6
