ON SOME BOUNDS INVOLVING THE CONVOLUTION PRODUCT UNDER THE CONVEXITY ASSUMPTION
Abstract
Convex functions and the convolution product are two key mathematical concepts that are rarely studied together. In this article, we explore the relationship between them and establish several comprehensive lower and upper bounds. Complete and detailed proofs are provided for all the main results.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Functional Equations Stability Results
Optimization and Variational Analysis
Publication details
- Journal / source
- Advances in Mathematics Scientific Journal
- Volume
- 15
- Issue
- 1
- Pages
- 35–44
- Publication date
- 1 January 2026