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January 1, 2025Notes on Number Theory and Discrete MathematicsOpen Access

On a logarithmic inequality by Shenton and Kemp

József Sándor

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Key Points

A new proof of a double inequality involving ln^2(1+x) provides clearer insights into its properties.
This work builds on the foundational ideas of Shenton and Kemp, enhancing their initial findings.
The proof presented refines the existing double inequality for logarithmic functions, indicating its broader applicability.
The results imply that deeper understandings of logarithmic inequalities are possible through rigorous mathematical exploration.

Implication

New proof and improvement of the double inequality for ln^2(1+x), suggesting deeper insights into logarithmic properties.

Abstract

We offer new proof and refinement of a double inequality for ln² (1+x), by L. R. Shenton and A. W. Kemp [11].

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Cite This Study

József Sándor (2025) studied this question.

synapsesocial.com/papers/68bb49bc6d6d5674bccff599 https://doi.org/10.7546/nntdm.2025.31.3.583-587

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