Abstract
We present a modification of the Kantorovich variant of the operators due to Lupaş and Lupaş which are connected with Pólya distribution and we provide a quantitative Voronovskaya-kind theorem involving modulus of continuity. Also, we observe that a better approximation can be achieved for our modified form of operators. We also estimate the difference of the original operator with its modified form. Lastly, we depict the convergence of the modified operators to some functions using graphical representation.
Citation
Gunjan Agrawal. Vijay Gupta. "MODIFIED LUPAŞ–KANTOROVICH OPERATORS WITH PÓLYA DISTRIBUTION." Rocky Mountain J. Math. 52 (6) 1909 - 1919, December 2022. https://doi.org/10.1216/rmj.2022.52.1909
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