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Direct weighted Lagrange - yen type interpolation in L{sub}(-π,π{sup}2){sup}2

机译:L {sub}( - π,π {sup} 2){sup} 2中的直接加权拉格朗日 - 日元插值

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Bivariate weighted Lagrange -—Yen tape interpolation formula is derived by means of Kotel'nikov -Shannon sampling restoration formula for deterministic signals from Paley -Wiener functions space L{sub}([-π,π]{sup}2){sup}2. The interpolation parameter size is computed when the approximation relative error level and the coordinatewise sample deviations are prescribed, when sinc - type weight function is used for the interpolation convergence rate improvement.
机译:Bivariate加权拉格朗日 - Yen磁带插补配方是通过Kotel'nikov-Shannon采样恢复公式来源的,用于来自Paley -Wiener函数空间L {sub}([ - π,π] {sup} 2){sup} 2。当近似相对误差级别和环形样本偏差被规定时,计算插值参数大小,当SINC型权重函数用于插值会聚率改进时。

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