What question did this study set out to answer?

To extend an existing inequality for convex functions to apply to higher-order convex functions over three intervals.

January 22, 2026Open Access

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.

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