JournalsemVol. 81, No. 2pp. 73–77

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
      On integral inequalities with applications to the logarithmic mean cover
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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. 81 (2026), no. 2, pp. 73–77

      DOI 10.4171/EM/557