Inequality on Three Intervals for Higher-Order Convex Functions
Key Points
To extend an existing inequality for convex functions to apply to higher-order convex functions over three intervals.
Develop theoretical extensions of inequality for higher-order convex functions.
Analyze and derive corollaries related to these inequalities.
Discuss potential applications of the extended inequalities.
Established new inequalities for higher-order convex functions across three intervals.
Provided examples of corollaries that arise from these extensions.
Outlined practical applications of the inequalities in mathematical contexts.
Abstract
In this article, an inequality on three intervals for convex functions is extended to inequalities on three intervals for higher-order convex functions. Some corollaries and applications are mentioned.