On generalized picard integral operators
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Singapore
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the paper, we constructed a class of linear positive operators generalizing Picard integral operators which preserve the functions eµx and e2µx, µ > 0. We show that these operators are approximation processes in a suitable weighted spaces. The uniform weighted approximation order of constructed operators is given via exponential weighted modulus of smoothness.We also obtain their shape preserving properties considering exponential convexity. © Springer Nature Singapore Pte Ltd. 2018.
Açıklama
Anahtar Kelimeler
Voronovskaya-type theorems, Weighted modulus of continuity
Kaynak
Advances in Summability and Approximation Theory
WoS Q Değeri
Scopus Q Değeri
N/A
