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Budak, H., Kılınç Yıldırım, S., Sarıkaya, M.Z. and Yıldırım, H. (2022) Some Parameterized Simpson-, Midpoint-and Trapezoid-Type Inequalities for Generalized Fractional Integrals. Journal of Inequalities and Applications, 2022, Article No. 40.
https://doi.org/10.1186/s13660-022-02773-5

has been cited by the following article:

• TITLE: Some Parameterized Simpson-Mercer Type Inequalities for General Fractional Operators

  AUTHORS: Jen Chieh Lo

  KEYWORDS: Simpson-Mercer-Type Inequalities, Integral Inequalities, Fractional Calculus, Convex Functions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.16 No.3, March 23, 2026

  ABSTRACT: This paper establishes new parameterized Simpson Mercer-type inequalities for functions of two variables within the framework of generalized fractional integral operators. By deriving novel integral identities for twice partially differentiable mappings, we provide several generalized forms for free parameters. Our results extend and unify a wide range of existing fractional integral inequalities, including those based on the Riemann-Liouville, k-Riemann-Liouville, and other fractional operators. These findings enrich the theory of integral inequalities and offer new tools for applications in convex analysis, numerical integration, and fractional calculus.