In this paper, we present the modulus of smoothness of a function $f∈X_{c}^{p}$, 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 $f$.
Mellin-Gauss-Weierstrass operators Mellin-Lebesgue spaces modulus of smoothness Lebesgue point
Birincil Dil | İngilizce |
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Konular | Operatör Cebirleri ve Fonksiyonel Analiz |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 27 Eylül 2024 |
Gönderilme Tarihi | 19 Mart 2024 |
Kabul Tarihi | 5 Nisan 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 73 Sayı: 3 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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