TY - JOUR
ID - 2789
TI - On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Ansari, Khursheed J.
AU - Karaisa, Ali
AD - Department of Mathematics, College of Science, King Khalid University, 61413,
Abha, Saudi Arabia
AD - Department of Mathematics-Computer Sciences, Faculty of Sciences, Necmettin
Erbakan University Meram Campus, 42090 Meran, Konya, Turkey
Y1 - 2017
PY - 2017
VL - 8
IS - 2
SP - 181
EP - 200
KW - $(p,q)$-integers
KW - Bernstein operators
KW - positive linear operators
KW - Korovkin type approximation theorem
KW - statistical approximation
DO - 10.22075/ijnaa.2017.1827.1479
N2 - In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Lip$_{M}(alpha )$. Moreover, we also discuss convergence and rate of approximation in weighted spaces and weighted statistical approximation properties of the sequence of positive linear operators defined by us.
UR - https://ijnaa.semnan.ac.ir/article_2789.html
L1 - https://ijnaa.semnan.ac.ir/article_2789_8c00a08033e702b77e6d822b3272f202.pdf
ER -