Application of a continuant to the estimation of a remainder term of Thiele's interpolation continued fraction

Mykhaylo M. Pahirya

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Application of a continuant to the estimation of a remainder term of Thiele's interpolation continued fraction

机译：持续应用于估计其剩余期限的依尔对插值持续的分数

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摘要

Abstract New properties of a continuant has been proved. Using the relationship between the continuant and the continued fraction, an estimate of the remainder term of Thieleâ€™s interpolation continued fraction is obtained.

机译：摘要持续的持续新属性已被证明。利用持续的关系与持续的分数之间的关系，获得了依尔对插值的剩余术语持续分数的估计。

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来源
《Journal of Mathematical Sciences》 |2020年第5期|687-700|共14页
作者
Mykhaylo M. Pahirya;
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作者单位

Uzhhorod National University Mukachevo State University Mukachevo Ukraine;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Continued fraction; continuant; interpolation of functions; remainder term;

机译：持续的分数;持续的;职能插值;余下的术语;

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1. Estimation of the Remainder for the Interpolation Continued C-Fraction [J] . Pahirya M. M. Ukrainian mathematical journal . 2014,第6期

机译：内插连续C分数的余数估计
2. EVALUATION OF THE REMAINDER TERM FOR THE THIELE NTERPOLATIONCONTINUED FRACTION [J] . M. M. Pahirya Ukrainian mathematical journal . 2008,第11期

机译：噻唑插续馏分剩余期限的评价。
3. ABSTRACT INTERPOLATION BY CONTINUED THIELE-TYPE FRACTIONS [J] . V. L. Makarov, I. I. Demkiv Cybernetics and Systems Analysis . 2018,第1期

机译：连续的Thiele型分数的抽象内插
4. Univariate Thiele Type Continued Fractions Rational Interpolation with Parameters [C] . Le Zou, Liang-Tu Song, Xiao-Feng Wang, International conference on intelligent computing methodologies . 2019

机译：单变量Thiele型连续分数带参数的有理插值
5. Applications of Hyperbolic Geometry to Continued Fractions and Diophantine Approximation [D] . Hines, Robert. 2019

机译：双曲几何在连续分数和丢番图逼近中的应用
6. Multi-Tone Frequency Estimation Based on the All-Phase Discrete Fourier Transform and Chinese Remainder Theorem [O] . Xiangdong Huang, Lu Cao, Wei Lu 2020

机译：基于全相离散傅里叶变换和中国剩余定理的多音频估计
7. A continuant and an estimate of the remainder of the interpolating continued C-fraction [O] . M.M. Pahirya 2020

机译：持续的和估计剩余的内插持续的C-部分
8. REMAINDERS FOR CONTINUED FRACTIONS [R] . T. L. Hayden 1963

机译：剩余分数的剩余量

Application of a continuant to the estimation of a remainder term of Thiele's interpolation continued fraction

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