Abstract
The Durrmeyer modification $\tilde{F}_{n}f$ of the generalized Favard operators in some weighted function spaces are considered. The rate of convergence of $\tilde{F}_{n}f(x)$ at the Lebesgue points $x$ of $f$ is estimated. In particular, a corresponding estimate in the class of functions $f$ of bounded $p$-th power variation is deduced.
Citation
Grzegorz Nowak. Paulina Pych-Taberska. "Some properties of the generalized Favard-Durrmeyer operators." Funct. Approx. Comment. Math. 29 103 - 112, 2001. https://doi.org/10.7169/facm/1538186721
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