Improvements of the bounds for Ramanujan constant function

Hong Hu Chu; Zhen Hang Yang; Wen Zhang; Yu Ming Chu

doi:10.1186/s13660-016-1140-y

Improvements of the bounds for Ramanujan constant function

Hong Hu Chu
, Zhen Hang Yang
, Wen Zhang
, Yu Ming Chu

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

5 Scopus citations

Abstract

In the article, we establish several inequalities for the Ramanujan constant function R(x) = − 2 γ− ψ(x) − ψ(1 − x) on the interval (0 , 1 / 2 ] , where ψ(x) is the classical psi function and γ= 0.577215 ⋯ is the Euler-Mascheroni constant.

Original language	English
Article number	196
Journal	Journal of Inequalities and Applications
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13660-016-1140-y
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

Euler-Mascheroni constant
Ramanujan constant function
gamma function
psi function

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10.1186/s13660-016-1140-y

Cite this

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title = "Improvements of the bounds for Ramanujan constant function",

abstract = "In the article, we establish several inequalities for the Ramanujan constant function R(x) = − 2 γ− ψ(x) − ψ(1 − x) on the interval (0 , 1 / 2 ] , where ψ(x) is the classical psi function and γ= 0.577215 ⋯ is the Euler-Mascheroni constant.",

keywords = "Euler-Mascheroni constant, Ramanujan constant function, gamma function, psi function",

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AU - Chu, Yu Ming

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N2 - In the article, we establish several inequalities for the Ramanujan constant function R(x) = − 2 γ− ψ(x) − ψ(1 − x) on the interval (0 , 1 / 2 ] , where ψ(x) is the classical psi function and γ= 0.577215 ⋯ is the Euler-Mascheroni constant.

AB - In the article, we establish several inequalities for the Ramanujan constant function R(x) = − 2 γ− ψ(x) − ψ(1 − x) on the interval (0 , 1 / 2 ] , where ψ(x) is the classical psi function and γ= 0.577215 ⋯ is the Euler-Mascheroni constant.

KW - Euler-Mascheroni constant

KW - Ramanujan constant function

KW - gamma function

KW - psi function

UR - https://www.scopus.com/pages/publications/84981719081

U2 - 10.1186/s13660-016-1140-y

DO - 10.1186/s13660-016-1140-y

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VL - 2016

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

Improvements of the bounds for Ramanujan constant function

Abstract

Keywords

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