In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these operators and estimate the rate of convergence. Then, we give a pointwise approximation for the Peetre K-functional and functions of the Lipschitz class. Moreover, we demonstrate Voronovskaja type theorem for the operators. Finally, the convergence properties of operators to some functions are illustrated by graphics.
rate of convergence weighted spaces weighted modulus of continuity
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2023 |
Gönderilme Tarihi | 10 Eylül 2022 |
Kabul Tarihi | 24 Şubat 2023 |
Yayımlandığı Sayı | Yıl 2023 |