Weighted approximation by modified Picard operators
Yükleniyor...
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Herein, the aim is to further investigate the properties of the generalized Picard operators introduced in Agratini et al. (Positivity 3(21):1189-1199, 2017). The motivation is based on with the purpose of furnishing appropriate positive approximation processes in the setting of large classes of exponential weighted Lp spaces via different type theorems. For this propose, firstly we give the boundness of the operators, acting from an exponential weighted space into itself. Also, using an exponential weighted modulus of continuity a quantitative type theorem as well as the global smoothness property of the operators are presented. Then, we give pointwise approximation property of the operators at a generalized Lebesgue point. Finally under a certain condition, again the weighted Lp approximation is formulated without using Korovkin type theorem.
Açıklama
ARAL, Ali/0000-0002-2024-8607; Deniz, Emre/0000-0003-0546-4229
Anahtar Kelimeler
Picard integral operators, Korovkin type theorem, Weighted space
Kaynak
POSITIVITY
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
24
Sayı
2
Künye
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