RiemannÐLiouville Fractional NewtonÕs Type Inequalities for Differentiable Convex Functions

Date
2022
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Article
Publisher
MDPI
Journal Title
RiemannÐLiouville Fractional NewtonÕs Type Inequalities for Differentiable Convex Functions
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Abstract
In this paper, we prove some new NewtonÕs type inequalities for differentiable convex functions through the well-known RiemannÐLiouville fractional integrals. Moreover, we prove some inequalities of RiemannÐLiouville fractional NewtonÕs type for functions of bounded variation. It is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature. Finally, we give some examples with graphs and show the validity of newly established inequalities. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
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Fractal and Fractional