Conditional local approximation in the representation of a discrete process by interpolation polynomials

机译：用插值多项式表示离散过程的条件局部逼近

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The organization of calculations or the processing of data on observable samples of a process carried out by means of representation by algebraic polynomials, belongs to the class of methods of analytical representation and signal processing. This paper discusses the structure of devices and the formulas that define them, which are used for local approximation using power algebraic polynomials, when the observed data are known exactly.

机译：通过代数多项式表示法对过程的可观察样本进行计算或数据处理的组织，属于分析表示法和信号处理方法的一类。本文讨论了设备的结构以及定义设备的公式，当精确地了解观测到的数据时，这些设备将用于使用幂代数多项式进行局部逼近。

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《International Siberian Conference on Control and Communications》|2019年|1-4|共4页
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Yuriy A. Kropotov; Alexsandr A. Kolpakov; Alexey A. Belov; Alexander Yu. Proskuryakov;
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Interpolation; Acceleration; Data models; Calculators; Data processing; Organizations;

机译：插值;加速度;数据模型;计算器;数据处理;组织;

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1. Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality [J] . Osada Hirofumi, Osada Shota Journal of Statistical Physics . 2018,第2期

机译：连续空间上的决定点过程的离散近似：树表示和尾部琐事
2. Discrete-time local polynomial approximation of the instantaneous frequency [J] . Katkovnik V. IEEE Transactions on Signal Processing . 1998,第10期

机译：瞬时频率的离散时间局部多项式逼近
3. Numerical approximation of BSDEs using local polynomial drivers and branching processes [J] . Bruno Bouchard, Xiaolu Tan, Xavier Warin, Monte Carlo Methods and Applications . 2017,第4期

机译：使用局部多项式驱动器和分支过程对BSDE进行数值逼近
4. Conditional local approximation in the representation of a discrete process by interpolation polynomials [C] . Yuriy A. Kropotov, Alexsandr A. Kolpakov, Alexey A. Belov, International Siberian Conference on Control and Communications . 2019

机译：通过插值多项式表示离散过程的条件局部近似
5. GENERALIZATIONS OF TOEPLITZ AND HANKEL MATRICES AND THEIR ASSOCIATED INTERPOLATION AND APPROXIMATION PROBLEMS (TRENCH FORMULA, ORTHOGONAL POLYNOMIALS, FAST ALGORITHMS). [D] . SHARP, DANIEL WILLIAM. 1986

机译：Toeplitz和Hankel矩阵的广义化及其相关的插值和逼近问题（沟槽公式，正交多项式，快速算法）。
6. ON THE WEIGHTED POLYNOMIAL APPROXIMATION IN A LOCALLY COMPACT SPACE [O] . Leopoldo Nachbin 1961

机译：关于局部紧空间中的加权多项式逼近
7. Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems [O] . N. Dyn, A. Ron 1990

机译：局部近似由指数多项式的某些空间，指数框样条的近似顺序，以及相关的插值问题
8. Polynomial Interpolation and Approximation of Real Functions 2. SymmetricalInterpolation for the Triangle [R] . Chen, Q., Babuska, I. 1993

机译：多项式插值和实函数的逼近2.三角形的对称插值

Conditional local approximation in the representation of a discrete process by interpolation polynomials

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