Some Error Bounds for 2-Point Right Radau Formula in the Setting of Fractional Calculus via s-Convexity

Xiao Lan Liu, Hong Yan Xu, Ali Shokri, Abdelghani Lakhdari, Badreddine Meftah and Yongqiang Fu

Journal of Mathematics, 2024, vol. 2024, 1-14

Abstract: In this paper, we present a new approach to construct fractional 2-point right Radau type integral inequalities using a novel identity, for functions with s-convex first derivatives in the second sense via Riemann–Liouville fractional integral operators. We then demonstrate the accuracy of our results through a 2D example, as well as practical applications of the integral inequalities to quadrature formulas and special means such as arithmetic and p-logarithmic means.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6709056

DOI: 10.1155/2024/6709056

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