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On integral inequalities with applications to the logarithmic mean

  • Bikash Chakraborty

    Ramakrishna Mission Vivekananda Centenary College, Rahara, West Bengal, India

  • Lazhar Bougoffa

    Imam Mohammad ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
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Abstract

This short note aims to introduce and derive a sequence of integral inequalities based on the well-established Radon inequality. In particular, it includes a generalization of the Chebyshev and Dunkel integral inequalities. As a special case, these inequalities readily yield the well-known Arithmetic-Logarithmic-Geometric Mean Inequality.

Cite this article

Bikash Chakraborty, Lazhar Bougoffa, On integral inequalities with applications to the logarithmic mean. Elem. Math. (2025), published online first

DOI 10.4171/EM/557