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Quasi-projection operators in weighted Lp spaces
Applied and Computational Harmonic Analysis ( IF 2.6 ) Pub Date : 2020-02-04 , DOI: 10.1016/j.acha.2020.01.003 Yu. Kolomoitsev , M. Skopina
中文翻译:
加权L p空间中的拟投影算子
更新日期:2020-04-20
Applied and Computational Harmonic Analysis ( IF 2.6 ) Pub Date : 2020-02-04 , DOI: 10.1016/j.acha.2020.01.003 Yu. Kolomoitsev , M. Skopina
Approximation properties of multivariate quasi-projection operators are studied. 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 -spaces for these operators is investigated. The results allow us to estimate the error for reconstruction of signals (approximated functions) whose decay is not enough to be in .
中文翻译:
加权L p空间中的拟投影算子
研究了多元拟投影算子的逼近性质。考虑了这类运算符的大类,包括由不同的带限函数生成的采样运算符和Kantorovich-Kotelnikov型运算符。加权的收敛速度研究这些运算符的空间。结果使我们能够估计信号衰减(近似函数)的误差,其衰减不足以使。