A WEIGHTED GENERALIZATION OF AN INTEGRAL INEQUALITY WITH A PROBABILISTIC INTERPRETATION
Abstract
This article presents a weighted generalization of an integral inequality involving a function and its powers of order one, two, and four. Several examples are provided, each considering a specific type of weight function. Furthermore, we discuss how the main result can be naturally interpreted in terms of a moment inequality, offering a new perspective in probability.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Probability and Statistical Research
Mathematical functions and polynomials
Publication details
- Journal / source
- Advances in Mathematics Scientific Journal
- Volume
- 15
- Issue
- 1
- Pages
- 121–129
- Publication date
- 4 February 2026