Approximation on bivariate of Durrmeyer operators based on beta function

Autor: Raiz, Mohd, Rajawat, Ruchi Singh, Mishra, Lakshmi Narayan, Mishra, Vishnu Narayan
Zdroj: The Journal of Analysis; February 2024, Vol. 32 Issue: 1 p311-333, 23p
Abstrakt: In this study, we construct a new sequence of bivariate Summation-integral type hybrid operators and their approximation behavior. Moreover, the rate of convergence of these operators is given by using the modulus of continuity. Further, Lipschitz-maximal, Peetre’s K-functional and global approximation results are investigated using weight functions. Furthermore, approximation behavior in Bo¨gel functional space are studied. Lastly, the Summation-integral type hybrid operators for the function of two variables are used to validate the numerical results and obtain the graphical illustration of the convergence behaviour of the operators univariate and bivariate case separately.
Databáze: Supplemental Index