Some New Fractional Weighted Simpson Type Inequalities for Functions Whose First Derivatives Are Convex

Badreddine Meftah, Hamid Boulares, Ramsha Shafqat, A. Ben Makhlouf, Ramzi Benaicha and Thanin Sitthiwirattham

Mathematical Problems in Engineering, 2023, vol. 2023, 1-19

Abstract: The goal of this paper is to establish some weighted Simpson type inequalities for functions whose first derivatives are convex involving Reimann–Liouville integral operators. In order to obtain our results, we first prove a new integral identity as an auxiliary result. Based on this identity we establish some fractional weighted Simpson type inequalities for functions whose modulus of the first derivatives are convex. Several special cases are discussed. Error estimates for some numerical quadrature rules are furnished.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9945588

DOI: 10.1155/2023/9945588

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