TY - JOUR
ID - 97090
TI - On a New Class of Bernstein Type Operators Based on Beta Function
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Bhatt, Dhawal J.
AU - Mishra, Vishnu Narayan
AU - Jana, Ranjan Kumar
AD - Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat-395
007 (Gujarat), India.
AD - Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, (Madhya Pradesh)- 484 887, India.
Y1 - 2020
PY - 2020
VL - 6
IS - 1
SP - 1
EP - 15
KW - Beta function
KW - Korovkin theorem
KW - Modulus of continuity
KW - Voronovskaya type result
DO - 10.22034/kjm.2019.97090
N2 - 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.
UR - http://www.kjm-math.org/article_97090.html
L1 - http://www.kjm-math.org/article_97090_cadb0c8d0798a9820fa3976ce509413e.pdf
ER -