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New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals

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  • Abd-Allah Hyder
  • Çetin Yildiz

Abstract

In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel fractional inequalities. According to the current literature, this work is a novel addition to the literature, and the proposed technique for addressing fractional inequalities issues is straightforward and simple to execute. It is also easy to see that all of the inequalities that have been developed are inclusive and may be reduced to a variety of other inequalities that have been proposed in the literature. Additionally, certain numeric examples with graphs are provided to support the theoretical results.

Suggested Citation

  • Abd-Allah Hyder & Çetin Yildiz, 2023. "New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals," Journal of Mathematics, Hindawi, vol. 2023, pages 1-10, July.
    • Handle: RePEc:hin:jjmath:9532488
    DOI: 10.1155/2023/9532488
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