A new type Bézier bases with λ shape parameters have been defined <cite>ye</cite>. We slightly modify these bases to establish new Bézier bases with Schurer polynomials and λ shape parameters. We construct a new type Schurer operators via defined new Bézier-Schurer bases. Also, we study statistical convergence properties of these operators and obtain an estimate for the rate of weighted A-statistical convergence. Moreover, we prove two Voronovskaja-type theorems including a Voronovskaja-type approximation theorem using weighted A-statistical convergence.
Bézier bases shape parameter statistical approximation $ \lambda $-Schurer operators weighted A-statistical Voronovskaja-type theorem
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2020 |
Gönderilme Tarihi | 8 Ocak 2019 |
Kabul Tarihi | 6 Kasım 2019 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 69 Sayı: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.