The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators. The rate of convergence is investigated by means of the modulus of continuity, by using functions of Lipschitz class and by the help of Peetre-K functionals. Then a Voronovskaya type asymptotic formula for the newly constructed Bernstein-Stancu operators is presented. Finally, some graphs are given to illustrate the convergence properties of operators to some functions.
Modulus of continuity Peetre-K functionals Voronovskaya-type theorem
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 29 Aralık 2021 |
Gönderilme Tarihi | 25 Mayıs 2021 |
Kabul Tarihi | 9 Eylül 2021 |
Yayımlandığı Sayı | Yıl 2021Cilt: 42 Sayı: 4 |