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On integral inequalities with applications to the logarithmic mean

Year: 2025

Type: article

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.

Source: Elemente der Mathematik

DOI: 10.4171/em/557

Authors: Bikash Chakraborty, Lazhar Bougoffa

Institutions: Ramakrishna Mission Vivekananda Centenary College, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409970872

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