ON REGULARITY OF LINEAR SUMMATION METHODS OF TAYLOR SERIES

M. V. GAEVSKIJ; P. V. ZADEREY

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ON REGULARITY OF LINEAR SUMMATION METHODS OF TAYLOR SERIES

机译：泰勒级数线性求和方法的正则性

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摘要

The paper specifies necessary and sufficient conditions for regularity of an infinite matrix of real numbers, which determines some summation method for a class of functions that are analytic on the unit disk and continuous on the closed circle.

机译：本文为实数无限矩阵的正则性规定了必要和充分的条件，从而为在单元盘上分析并在闭合圆上连续的一类函数确定了某种求和方法。

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《Methods of Functional Analysis and Topology》 |2015年第1期|共13页
作者
M. V. GAEVSKIJ; P. V. ZADEREY;
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正文语种 eng
中图分类几何、拓扑;
关键词
Summation method; infinite matrix; regularity; Taylor series;

机译：求和法;无限矩阵;正则性;泰勒级数;

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专利

1. ON REGULARITY OF LINEAR SUMMATION METHODS OF TAYLOR SERIES [J] . M. V. GAEVSKIJ, P. V. ZADEREY Methods of Functional Analysis and Topology . 2015,第1期

机译：泰勒级数线性求和方法的正则性
2. On necessary and sufficient conditions of the regularity of summation methods for Laguerre-Fourier series [J] . M. D. Burmistrova Analysis Mathematica . 2006,第4期

机译：关于Laguerre-Fourier级数求和方法的正则性的充要条件
3. On the notion of regularity of methods of summation of infinite series [J] . Tamarkin J. D. Bulletin of the American Mathematical Society . 1935,第4期

机译：关于无穷级数求和方法的正则性概念
4. The Taylor Series - Local Iterative Linearization Method for Numerical Modeling and Simulation of Linear Processes [C] . T. Colosi, M. Abrudean, M. L. Unguresan IEEE International Conference on Automation, Quality and Testing, Robotics . 2008

机译：泰勒系列 - 局部迭代线性化方法，用于线性流程的数值模拟与仿真
5. A Meshless Method Based on First Order Taylor Series and Weighted Least Square Method [D] . Zhaoqi, Li 2018

机译：基于一阶泰勒级数和加权最小二乘法的无网格方法
6. Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals [O] . Hector Vazquez-Leal, Brahim Benhammouda, Uriel Antonio Filobello-Nino, -1

机译：修正泰勒级数法求解有限边界上混合边界条件的非线性微分方程
7. On summation of the Taylor series of the function 1/(1-z) by the theta summation method [O] . Katsnelson, V. 2014

机译：通过θ对函数1 /（1-z）的泰勒级数求和求和方法
8. Equivalence Between the Methods Involving Fourier Series and the Poisson's Summation Formula and Evaluation of a Class of Lattice Sums in Arbitrary Dimensions [R] . Dias, M., Chaba, A. N. 1985

机译：含傅里叶级数的方法与泊松Σ求和公式的等价性及任意维一类格的求和

ON REGULARITY OF LINEAR SUMMATION METHODS OF TAYLOR SERIES

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