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arXiv · 1811.07329

Approximation by multivariate Kantorovich-Kotelnikov operators

Yu. Kolomoitsev·M. Skopina
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Abstract

Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered. The $L_p$-rate of convergence for these operators is given in terms of the classical moduli of smoothness. Several examples of the Kantorovich-Kotelnikov operators generated by the ${\rm sinc}$-function and its linear combinations are provided.

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Yu. Kolomoitsev, M. Skopina. 2018-11-18. Approximation by multivariate Kantorovich-Kotelnikov operators. https://doi.org/10.1016/j.jmaa.2017.06.081

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