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On King type modification of $(p,q)$-Lupas Bernstein operators with improved estimates

Authors :
K.S. Nisar
V. Sharma
A. Khan
Source :
Carpathian Mathematical Publications. 15:20-30
Publication Year :
2023
Publisher :
Vasyl Stefanyk Precarpathian National University, 2023.

Abstract

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).

Subjects

Subjects :
General Mathematics

Details

ISSN :
23130210 and 20759827
Volume :
15
Database :
OpenAIRE
Journal :
Carpathian Mathematical Publications
Accession number :
edsair.doi...........afaa09b403c64c0707adeef05c543440
Full Text :
https://doi.org/10.15330/cmp.15.1.20-30