A new sequence convergent to Euler–Mascheroni constant

Xu You; Di Rong Chen

doi:10.1186/s13660-018-1670-6

A new sequence convergent to Euler–Mascheroni constant

Xu You^*
, Di Rong Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we provide a new sequence converging to the Euler–Mascheroni constant. Finally, we establish some inequalities for the Euler–Mascheroni constant by the new sequence.

Original language	English
Article number	75
Journal	Journal of Inequalities and Applications
Volume	2018
DOIs	https://doi.org/10.1186/s13660-018-1670-6
State	Published - 2018
Externally published	Yes

Keywords

Euler–Mascheroni constant
Harmonic sequence
Rate of convergence
Taylor’s formula

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10.1186/s13660-018-1670-6

Cite this

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title = "A new sequence convergent to Euler–Mascheroni constant",

abstract = "In this paper, we provide a new sequence converging to the Euler–Mascheroni constant. Finally, we establish some inequalities for the Euler–Mascheroni constant by the new sequence.",

keywords = "Euler–Mascheroni constant, Harmonic sequence, Rate of convergence, Taylor{\textquoteright}s formula",

author = "Xu You and Chen, \{Di Rong\}",

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year = "2018",

doi = "10.1186/s13660-018-1670-6",

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AU - Chen, Di Rong

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AB - In this paper, we provide a new sequence converging to the Euler–Mascheroni constant. Finally, we establish some inequalities for the Euler–Mascheroni constant by the new sequence.

KW - Euler–Mascheroni constant

KW - Harmonic sequence

KW - Rate of convergence

KW - Taylor’s formula

UR - https://www.scopus.com/pages/publications/85045020242

U2 - 10.1186/s13660-018-1670-6

DO - 10.1186/s13660-018-1670-6

M3 - 文章

AN - SCOPUS:85045020242

SN - 1025-5834

VL - 2018

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 75

ER -

A new sequence convergent to Euler–Mascheroni constant

Abstract

Keywords

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