@article {
author = {Bhatt, Dhawal and Mishra, Vishnu and Jana, Ranjan},
title = {On a New Class of Bernstein Type Operators Based on Beta Function},
journal = {Khayyam Journal of Mathematics},
volume = {6},
number = {1},
pages = {1-15},
year = {2020},
publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.97090},
abstract = {We develop Bernstein type operators using the Beta function and study their approximation properties. By using Korovkin's theorem, we achieve the uniform convergence of sequences of these operators. We obtain the rate of convergence in terms of modulus of continuity and establish the Voronovskaja type asymptotic result for these operators. At last the graphical comparison of these newly defined operators with few of the fundamental but significant operators is discussed.},
keywords = {Beta function,Korovkin theorem,Modulus of continuity,Voronovskaya type result},
url = {http://www.kjm-math.org/article_97090.html},
eprint = {http://www.kjm-math.org/article_97090_cadb0c8d0798a9820fa3976ce509413e.pdf}
}