OnConformable Fractional Milne-Type Inequalities
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Date
2024-02-01
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Licensee MDPI, Basel, Switzerland.
Abstract
Building upon previous research in conformable fractional calculus, this study introduces a novel identity. Using this identity as a foundation, we derive a set of conformable fractional Milne
type inequalities specifically designed for differentiable convex functions. The obtained results recover someexisting inequalities in the literature by fixing some parameters. These novel contributions aim to enrich the analytical tools available for studying convex functions within the realm of conformable fractional calculus. The derived inequalities reflect an inherent symmetry characteristic of the Milne formula, further illustrating the balanced and harmonious mathematical structure within these frame works. We provide a thorough example with graphical epresentations to support our findings, offering both numerical insights and visual confirmation of the established inequalities