Rational approximation of the finite sum of some sequences

In this paper, we give some rational approximations of \( S(n)=\displaystyle\sum_{j=1}^{n}\frac{1}{n^2+j} \) by the multiple-correction method and present the bounds of its error.

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Publication Details

Journal
Cubo
Published
2025-04-01
DOI
https://doi.org/10.56754/0719-0646.2701.165
Primary Topic
Optimization and Packing Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Rational approximation of the finite sum of some sequences

Xu You
Cubo
Optimization and Packing Problems
article

Rational approximation of the finite sum of some sequences

Xu You
article en

Abstract

In this paper, we give some rational approximations of \( S(n)=\displaystyle\sum_{j=1}^{n}\frac{1}{n^2+j} \) by the multiple-correction method and present the bounds of its error.

CuboVol. 27(1)
Beijing Institute of Petrochemical Technology (CN)
Openalex Percentile: Top 80%
Optimization and Packing Problems
DOIOpen Access PDFOpenAlex
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Rational approximation of the finite sum of some sequences — Xu You · Cubo (2025) | TGRS Research Map | TGRS