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arXiv · 1805.10536

Quasi-projection operators in the weighted $L_p$ spaces

Yurii Kolomoitsev·Maria Skopina
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Abstract

Approximation properties of multivariate quasi-projection operators are studied in the paper. Wide classes of such operators are considered, including the sampling and the Kantorovich-Kotelnikov type operators generated by different band-limited functions.The rate of convergence in the weighted $L_p$-spaces for these operators is investigated. The results allow to estimate the error for reconstruction of signals (approximated functions) whose decay is not enough to be in $L_p$.

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Yurii Kolomoitsev, Maria Skopina. 2018-05-26. Quasi-projection operators in the weighted $L_p$ spaces. https://doi.org/10.1016/j.acha.2020.01.003

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