On the asymptotic behavior of the integral T(x)

Mihoub Bouderbala; Meselem Karras

doi:10.48550/arxiv.2602.13853

February 14, 2026Open Access

On the asymptotic behavior of the integral T(x)

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Key Points

The aim is to estimate the behavior of the integral T(x) for positive real numbers.
Defined the integral T(x) based on the fractional part of a real number.
Analyzed the asymptotic behavior of T(x) as x approaches positive infinity.
Provided estimates for T(x) indicating how it behaves asymptotically as x increases.

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Implication

This analysis estimates the integral T(x) in positive real numbers, suggesting insights into its behavior.

Abstract

In this paper, we estimate the integral T(x) mentioned in the title, where {t} denotes the fractional part of the real number t, and x is any positive real number.

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Cite This Study

Bouderbala et al. (2026) studied this question.

synapsesocial.com/papers/6997f941ad1d9b11b3452335 https://doi.org/10.48550/arxiv.2602.13853

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On the asymptotic behavior of the integral T(x)

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

On the asymptotic behavior of the integral T(x)

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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