Asymptotic inequalities for alternating harmonics

DOI10.1142/S1664360719500024zbMath1476.40001OpenAlexW4238668569MaRDI QIDQ4997847

Vito Lampret

Publication date: 30 June 2021

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1664360719500024

zbMATH Keywords

approximationestimatedouble inequalityalternating harmonic number

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10)

Related Items (1)

Simple derivation of the Euler-Boole type summation formula and examples of its use

Cites Work

• Unnamed Item
• A double inequality for a generalized-Euler-constant function
• On the alternating series \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\)
• Accurate double inequalities for generalized harmonic numbers
• Sharp estimates regarding the remainder of the alternating harmonic series

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