ON THE STRONG FORM OF ASYMPTOTIC FORMULAS OF THE VORONOVSKAYA-BERNSTEIN TYPE WITH A POINTWISE ESTIMATE OF THE REMAINDER TERM

M. V. Babushkin; V. V. Zhuk

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ON THE STRONG FORM OF ASYMPTOTIC FORMULAS OF THE VORONOVSKAYA-BERNSTEIN TYPE WITH A POINTWISE ESTIMATE OF THE REMAINDER TERM

机译：关于带有剩余词的点估计的Voronovskaya-bernstein型渐近公式的强形式

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摘要

A number of general results concerning the strong form of asymptotic formulas of Voronovskaya-Bernstein type is established. Several examples of their application to some approximation methods are provided. Bibliography: 12 titles.

机译：建立了许多有关Voronovskaya-Bernstein型渐近公式的强形式的一般结果。提供了将其应用于某些近似方法的几个示例。参考书目：12种。

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《Journal of Mathematical Sciences》 |2017年第6期|859-876|共18页
作者
M. V. Babushkin; V. V. Zhuk;
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St.Petersburg State University, St.Petersburg, Russia;

St.Petersburg State University, St.Petersburg, Russia;

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1. VORONOVSKAYA-BERNSTEIN TYPE ASYMPTOTIC FORMULAS IN STRONG FORM [J] . V. V. Zhuk, M. V. Babushkin, A. A. Pudovkin Journal of Mathematical Sciences . 2016,第2期

机译：强形式的VORONOVSKAYA-BERNSTEIN型渐近公式
2. New Estimates of the Remainder in an Asymptotic Formula in the Multidimensional Dirichlet Divisor Problem [J] . O. V. Kolpakova Mathematical notes . 2011,第3a4期

机译：多维Dirichlet除数问题渐近公式剩余的新估计。
3. Asymptotic formulas with sharp remainder estimates for eigenvalues of elliptic operators of second order [J] . Hideo Tamura Proceedings of the Japan Academy, Series A. Mathematical Sciences . 1981,第9期

机译：二阶椭圆算子特征值的锐余估计渐近公式
4. An extension of asymptotically sufficient statistic method for pointwise strong universality [C] . Arimura M., Nagaoka H. Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on . 2005

机译：渐近充分统计方法对点强共性的扩展
5. Nonlinear Schroedinger-type equations with asymptotically linear terms. [D] . van Heerden, Francois Alwyn. 2002

机译：具有渐近线性项的非线性Schroedinger型方程。
6. Weak and Strong Type ... formula ...–... formula ... Estimates for Sparsely Dominated Operators [O] . Dorothee Frey, Bas Nieraeth -1

机译：弱强类型...公式... – ...公式...稀疏控制算子的估计
7. Asymptotic expressions for the remainder term in the quadrature formula of Gauss-Jacobi type [O] . ANA MARIA ACU, DANIEL FLORIN SOFONEA 2012

机译：高斯 - 雅宝型正交公式中剩余术语的渐近表达
8. Asymptotic Multinormality and Remainder Terms of Linear Rank Vectors under Alternatives. [R] . Puri, M. L., Rajaram, N. S. 1978

机译：替代条件下线性秩向量的渐近多正规性和余数项。

ON THE STRONG FORM OF ASYMPTOTIC FORMULAS OF THE VORONOVSKAYA-BERNSTEIN TYPE WITH A POINTWISE ESTIMATE OF THE REMAINDER TERM

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