A NEW EXTENSION OF THE STEFFENSEN INTEGRAL INEQUALITY

In this article, we establish a new extension of the Steffensen integral inequality, which relaxes several traditional monotonicity and integrability assumptions. The proof relies on the Chebyshev integral inequality, an important yet relatively understudied tool in this context. It is presented in full detail to ensure clarity and reproducibility.

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Publication Details

Journal
Advances in Mathematics Scientific Journal
Published
2025-09-04
DOI
https://doi.org/10.37418/amsj.14.3.4
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

A NEW EXTENSION OF THE STEFFENSEN INTEGRAL INEQUALITY

Christophe Chesneau
Advances in Mathematics Scientific Journal
Mathematical Inequalities and Applications
article

A NEW EXTENSION OF THE STEFFENSEN INTEGRAL INEQUALITY

Christophe Chesneau
article en

Abstract

In this article, we establish a new extension of the Steffensen integral inequality, which relaxes several traditional monotonicity and integrability assumptions. The proof relies on the Chebyshev integral inequality, an important yet relatively understudied tool in this context. It is presented in full detail to ensure clarity and reproducibility.

Advances in Mathematics Scientific JournalVol. 14(3)
Openalex Percentile: Top 66%
Mathematical Inequalities and Applications
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