TY - JOUR
ID - 252486
TI - Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Ozkan, Esma Yildiz
AD - Department of Mathematics, Faculty of Science, Gazi University, P.O.Box 06500, Ankara, Turkey.
Y1 - 2022
PY - 2022
VL - 19
IS - 2
SP - 113
EP - 132
KW - Approximation by polynomials
KW - Modulus of continuity
KW - Asymptotic expansions
KW - fuzzy numbers
DO - 10.22130/scma.2022.524506.910
N2 - In this study, we purpose to extend approximation properties of the $ (p,q)$-Bernstein-Chlodowsky operators from real function spaces to fuzzy function spaces. Firstly, we define fuzzy $ (p,q)$-Bernstein-Chlodowsky operators, and we give some auxiliary results. Later, we give a fuzzy Korovkin-type approximation theorem for these operators. Additionally, we investigate rate of convergence by using first order fuzzy modulus of continuity and Lipschitz-type fuzzy functions. Eventually, we give an estimate for fuzzy asymptotic expansions of the fuzzy $ (p,q)$-Bernstein-Chlodowsky operators.
UR - https://scma.maragheh.ac.ir/article_252486.html
L1 - https://scma.maragheh.ac.ir/article_252486_222e93a0f3bc285204199af7020a5ff5.pdf
ER -