What question did this study set out to answer?

The study aims to generalize Minkowski and Fejér‐Hermite‐Hadamard inequalities using fractional operators.

March 21, 2026

Graphical Insights and Applications of Fractional Minkowski and Fejér‐Hermite‐Hadamard Type Inequalities

Key Points

The study aims to generalize Minkowski and Fejér‐Hermite‐Hadamard inequalities using fractional operators.
Utilized modified Atangana‐Baleanu fractional operators.
Verified inequalities through illustrative examples.
Presented corresponding graphical illustrations.
Introduced applications involving the digamma function.
Generalized inequalities are established using nonlocal and nonsingular kernels.
Demonstrated significance through multiple examples.
Opened pathways for further inequalities using fractional methods.

Abstract

ABSTRACT In this study, the Minkowski and Fejér‐Hermite‐Hadamard (H‐H) type inequalities are generalized by utilizing the modified Atangana‐Baleanu (A‐B) fractional operators. These fractional operators, defined by their nonlocal and nonsingular kernels provide a new way to generalize these classical inequalities. The inequalities are verified through several illustrative examples and corresponding graphs. A new application involving the digamma function is presented to demonstrate the significance of the results. This research opens new avenues for establishing further inequalities via fractional operators.

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