Abstract
The convergence of families of linear polynomial operators in the scale of the $L_p$-spaces with $0<p<+\infty$ is studied. The convergence conditions are formulated in terms of the Fourier transform of the generator of the kernel. The results are applied to methods generated by classical kernels.
Citation
Vladimir I. Rukasov. Konstantin V. Runovski. Hans-Jürgen Schmeisser. "On convergence of families of linear polynomial operators." Funct. Approx. Comment. Math. 41 (1) 41 - 54, September 2009. https://doi.org/10.7169/facm/1254330158
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