Simultaneous approximation with generalized Durrmeyer operators
Yükleniyor...
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to obtain some convergence properties of generalized sequences of Ibragimov-Gadjiev-Durrmeyer operators which are a wide class of linear positive operators including many well known linear positive operators. Firstly, the Voronovskaya type theorem in simultaneous approximation is given. Then we present an upper estimate of norm convergence of the derivatives of the operators in quantitative mean in terms of the modulus of continuity. We show several of sequences that can be derived from them by means of a suitable transformation. Some special cases of new operators are presented as examples. (C) 2015 Published by Elsevier Inc.
Açıklama
Deniz, Emre/0000-0003-0546-4229
Anahtar Kelimeler
Ibragimov-Gadjiev-Durrmeyer operators, Durrmeyer operators, Simultaneous approximation
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
260
Sayı
Künye
closedAccess
