Quantitative type theorems in the space of locally integrable functions
[ X ]
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we introduce a new modulus of continuity for locally integrable function spaces which is influenced by the natural structure of the L-p space. After basic properties of it are given, we obtain a quantitative type theorem for the rate of convergence of convolution type integral operators and iterates of them. Their global smoothness preservation property involving the new modulus of continuity is presented. Finally, the obtained results are applied to Gauss-Weierstrass operators.
Açıklama
Anahtar Kelimeler
Quantitative theorems; Locally integrable function space; Weighted modulus of continuity
Kaynak
Positivity
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
26
Sayı
3
