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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | December 29, 2021 |
Submission Date | May 25, 2021 |
Acceptance Date | September 9, 2021 |
Published in Issue | Year 2021Volume: 42 Issue: 4 |