Approximation properties of Ibragimov-Gadjiev-Durrmeyer operators on Lp(R+)
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Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Warsaw University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which oer a reconstruction of integral type operators including well known Durrmeyer operators. This reconstruction allows us to investigate approximation properties of the Durrmeyer operators at the same time. It is rst shown that these operators are a positive approximation process in Lp R+. While we are showing this property of the operators we consider the Ditzian-Totik modulus of smoothness and corresponding Kfunctional. Then, weighted norm convergence, whose proof is based on Korovkin type theorem on Lp R+, is given. At the end of the paper we show several examples of classical sequences that can be obtained from the Ibragimov-Gadjiev-Durrmeyer operators. ' 2017 Glsm Ulusoy and Ali Aral,
Açıklama
Anahtar Kelimeler
Durrmeyer operators, Ibragimov-Gadjiev operators, Lp approximation., Modulus of continuity
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
50
Sayı
1
