Approximation Degree of Bivariate Riemann-Liouville type fractional Stancu-Kantorovich operators

Deepak Bhardwaj; S.A. Mohiuddine; Arun Kajla; Abdullah Alotaibi

doi:10.5269/bspm.81946

Approximation Degree of Bivariate Riemann-Liouville type fractional Stancu-Kantorovich operators

Bivariate Riemann-Liouville type fractional Stancu-Kantorovich operators

Deepak Bhardwaj Department of Mathematics, Central University of Haryana, Haryana 123031, India
S.A. Mohiuddine King Abdulaziz University
Arun Kajla Department of Mathematics, Central University of Haryana, Haryana 123031, India
Abdullah Alotaibi Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

DOI: https://doi.org/10.5269/bspm.81946

Resumo

In this article, we develop bivariate extension of the operators introduced by Sehrawat and Kajla \cite{db3}. The convergence behaviour of the proposed operators is analyzed using various moduli of continuity, and Voronovskaja-type asymptotic theorems. The approximation behaviour is further investigated in Lipschitz-type spaces. In addition, the rate of convergence of the operators is illustrated through graphical representations, which are generated using the Maple computational software.