@article{Cai2022, 
author = {Qing-Bo Cai and Melek Sofyalıoğlu and Kadir Kanat and Bayram Çekim},
title = {Some approximation results for the new modification of Bernstein-Beta operators},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {1831-1844},
keywords = {Korovkin type approximation theorem, modulus of continuity, functions of Lipschitz class, Peetre's K-functionals},
url = {https://www.sciopen.com/article/10.3934/math.2022105},
doi = {10.3934/math.2022105},
abstract = {This paper deals with the newly modification of Beta-type Bernstein operators, preserving constant and Korovkin's other test functions        e    i    =      t    i  ,    i  =  1  ,  2 in limit case. Then the uniform convergence of the constructed operators is given. The rate of convergence is obtained in terms of modulus of continuity, Peetre-       K   functionals and Lipschitz class functions. After that, the Voronovskaya-type asymptotic result for these operators is established. At last, the graphical results of the newly defined operators are discussed.}
}