In this article we consider methods of reconstructing functions of n variables from their values at the points of a chaotic lattice providing an error of the best order in the approximation of functions f and their derivatives of order I in L,(fl) in the class W = (f 6 W(tt): ||Dkf||Lq and classes of lattices as well as in "W for a fixed lattice. We obtain methods of interpolation by means of smooth piecewise polynomial functions having the specified properties. The order of computational complexity is estimated for these methods.
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机译：在本文中，我们考虑了从n个变量的值在一个混沌晶格的点处重构n个变量的函数的方法，这些函数在类f，f中的阶I的导数的近似中提供最佳阶次的误差， W =（f 6 W（tt）：|| Dkf || Lq以及格的类别以及“ W对于固定格。我们通过具有指定性质的光滑分段多项式函数来获得插值方法。顺序这些方法估计了计算复杂度。
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