2024
DOI: 10.1155/2024/6709056
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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
et al.

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.

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