Study of some new integral inequalities involving four adaptable functions

Abstract

In this article, we establish new and flexible integral inequalities that have the property of involving four adaptable functions. Some of them generalize existing results in the literature. They can also be reformulated in the context of probability theory. Several special examples are discussed in detail. Additional integral inequalities based on the notion of convexity are also proposed.

Keywords

• integral inequalities
• expectation inequalities
• convexity
• 26d15
• 33e20