Fractional Simpson-like Inequalities with Parameter for Differential Is/I-Itgs/I-Convex Functions

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Fractional Simpson-like Inequalities with Parameter for Differential Is/I-Itgs/I-Convex Functions

Merad, Meriem; Meftah, Badreddine; Boulares, Hamid; Moumen, Abdelkader; Bouye, Mohamed

Fractal and fractional, 10/2023, Volume: 7, Issue: 11

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In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.

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Merad, Meriem | Meftah, Badreddine | Boulares, Hamid | Moumen, Abdelkader | Bouye, Mohamed

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