Abstract
The present paper deals with the approximation of B\'{e}zier variants of Baskakov-Kantorovich operators $V_{n,\alpha}^{*}$ in the case $0\lt \alpha\lt 1$. Pointwise approximation properties of the operators $V_{n,\alpha}^{*}$ are studied. A convergence theorem of this type approximation for locally bounded functions is established. This convergence theorem subsumes the approximation of functions of bounded variation as a special case.
Citation
Xiao-Ming Zeng. Vijay Gupta. Octavian Agratini. "Approximation by Bézier variant of the Baskakov- Kantorovich operators in the case $0 \lt\alpha\lt 1$." Rocky Mountain J. Math. 44 (1) 317 - 327, 2014. https://doi.org/10.1216/RMJ-2014-44-1-317
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