On the Asymptotic Behaviour of the Integral T(x)=∫0+∞|{xt}−{xt+1}|dtT(x)=\int_0^{+\infty}\left|\left\{\frac{x}{t}\right\}-\left\{\frac{x}{t+1}\right\}\right|\,dt
Abstract In this paper, we estimate the integral T ( x ) considered in the title, where {t} denote the fractional parts of the real number t ,and x is any positive real number.
Authors
- Mihoub Bouderbala (ORCID: https://orcid.org/0000-0001-7800-486X)
- Meselem Karras
Institutions
- Tissemsilt University (DZ)
- Université Djilali Bounaama Khemis Miliana (DZ)
Publication Details
- Journal
- Tatra Mountains Mathematical Publications
- Published
- 2026-06-30
- DOI
- https://doi.org/10.2478/tmmp-2026-0009
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00