On Approximation Properties of Generalized Durrmeyer Operators

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Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer New York LLC

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The concern of this paper is to introduce new generalized Durrmeyer-type operators from which classical operators can be obtained as a particular case, inspiring from the Ibragimov–Gadjiev operators (Gadjiev and Ibragimov, Soviet Math. Dokl. 11, 1092–1095, (1970) [8]).After the construction of newDurrmeyer operators is given, we obtain some pointwise convergence theorems and Voronovskaya-type asymptotic formula for new Durrmeyer-type operators. We establish a quantitative version of the Voronovskaya-type formula with the aid of the weighted modulus of continuity. Some special cases of new operators are presented as examples. © Springer Science+Business Media Singapore 2016.

Açıklama

1st International Conference on Modern Mathematical Methods and High Performance Computing in Science and Technology, M3HPCST 2015 -- 27 December 2015 through 29 December 2015 -- -- 179589

Anahtar Kelimeler

Durrmeyer operators, Ibragimov–Gadjiev operators, Voronovskaya theorem, Weighted modulus of continuity

Kaynak

Springer Proceedings in Mathematics and Statistics

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

171

Sayı

Künye