BOUNDS FOR A SPECIFIC CLASS OF COMPOSITE INTEGRALS
Abstract
In the spirit of the classical Steffensen inequality, we derive new lower and upper bounds for a class of composite integrals that depend on two functions. Our results are based on monotonicity and concavity assumptions for only one of the functions. These assumptions are used alongside basic techniques such as changing the variables, monotonicity and concavity to prove our results. These techniques yield several distinct inequalities with a wide range of applications in analysis.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Analytic and geometric function theory
Publication details
- Journal / source
- Journal of Computer Science and Applied Mathematics
- Volume
- 8
- Issue
- 1
- Pages
- 55–63
- Publication date
- 16 February 2026
- Language
- EN