Conformable Fractional Milne-Type Inequalities Through Twice-Differentiable Convex Functions

Year 2025, , 31 - 42, 31.03.2025

İzzettin Demir , Esra Üneş

https://doi.org/10.33401/fujma.1610936

Abstract

In this article, we present a new integral identity based on conformable fractional integral operators with the help of twice-differentiable functions. Then, using this newly derived identity, we propose several Milne-type inequalities for twice-differentiable convex functions by means of conformable fractional integral operators and offer an example with an associated graph. Also, we note that the obtained results improve and expand some of the previous discoveries in the field of integral inequalities. Moreover, along with expanding on previous results, our results suggest effective approaches and methods for dealing with a variety of mathematical and scientific issues.

Keywords

Conformable fractional integrals, Convex functions, Milne-type integral inequalities, Riemann-Liouville fractional integrals

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