On The Mellin-Gauss-Weierstrass Operators In The Mellin-Lebesgue Spaces
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Dosyalar
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we present the modulus of smoothness of a function f is an element of X-c(p), which the Mellin-Lebesgue space, and later we state some properties of it. In this way, the rate of convergence is gained. Moreover, we elucidate some pointwise convergence results for the Mellin-Gauss-Weierstrass operators. Especially, we acquire the pointwise convergence of them at any Lebesgue point of a function f.
Açıklama
Anahtar Kelimeler
Mellin-Gauss-Weierstrass operators; Mellin-Lebesgue spaces; modulus of smoothness; Lebesgue point
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
73
Sayı
3