TY - JOUR
T1 - On King type modification of(p, q)-Lupaş Bernstein operators with improved estimates
AU - Nisar, K. S.
AU - Sharma, V.
AU - Khan, A.
N1 - Publisher Copyright:
© Nisar K.S., Sharma V., Khan A., 2023.
PY - 2023
Y1 - 2023
N2 - This paper aims to modify the (p, q)-Lupaş Bernstein operators using King’s technique and to establish convergence results of these operators by using of modulus of continuity and Lipschitz class functions. Some approximation results for this new sequence of operators are obtained. It has been shown that the convergence rate of King type modification is better than the (p, q)-Lupaş Bernstein operators. King type modification of operators also provide better error estimation within some subinterval of[0, 1] in comparison to(p, q)-Lupaş Bernstein operators. In the last section, some graphs and tables provided for simulation purposes using MATLAB (R2015a).
AB - This paper aims to modify the (p, q)-Lupaş Bernstein operators using King’s technique and to establish convergence results of these operators by using of modulus of continuity and Lipschitz class functions. Some approximation results for this new sequence of operators are obtained. It has been shown that the convergence rate of King type modification is better than the (p, q)-Lupaş Bernstein operators. King type modification of operators also provide better error estimation within some subinterval of[0, 1] in comparison to(p, q)-Lupaş Bernstein operators. In the last section, some graphs and tables provided for simulation purposes using MATLAB (R2015a).
KW - (p,q)-Lupaş Bernstein operator
KW - error estimate
KW - King type approximation
KW - modulus of con-tinuity
KW - post-quantum calculus
UR - https://www.scopus.com/pages/publications/85160936190
U2 - 10.15330/cmp.15.1.20-30
DO - 10.15330/cmp.15.1.20-30
M3 - Article
AN - SCOPUS:85160936190
SN - 2075-9827
VL - 15
SP - 20
EP - 30
JO - Carpathian Mathematical Publications
JF - Carpathian Mathematical Publications
IS - 1
ER -