On the Asymptotic Behaviour of the Integral 



T(x)=∫0+∞|{xt}−{xt+1}|dt
T(x)=\int_0^{+\infty}\left|\left\{\frac{x}{t}\right\}-\left\{\frac{x}{t+1}\right\}\right|\,dt

Mihoub Bouderbala; Meselem Karras

doi:10.2478/tmmp-2026-0009

$On the Asymptotic Behaviour of the Integral T(x)=∫0+∞|{xt}−{xt+1}|dt T(x)=\int_0^{+\infty}\left|\left\{\frac{x}{t}\right\}-\left\{\frac{x}{t+1}\right\}\right|\,dt Cover$

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On the Asymptotic Behaviour of the Integral T(x)=∫0+∞|{xt}−{xt+1}|dt T(x)=\int_0^{+\infty}\left|\left\{\frac{x}{t}\right\}-\left\{\frac{x}{t+1}\right\}\right|\,dt

Tatra Mountains Mathematical Publications

Volume 92 (2026): Issue 1 (July 2026)

By: Mihoub Bouderbala and Meselem Karras

Open Access

|Jun 2026

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DOI: https://doi.org/10.2478/tmmp-2026-0009 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 119 - 132

Submitted on: Feb 23, 2026

Accepted on: Jun 25, 2026

Published on: Jun 30, 2026

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

asymptotic behaviour,

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© 2026 Mihoub Bouderbala, Meselem Karras, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 92 (2026): Issue 1 (July 2026)