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Vivas-Cortez, M., Awan, M.U., Javed, M.Z., Kashuri, A., Noor, M.A. and Noor, K.I. (2021) Some New General κ-Fractional Hermite-Hadamard-Mercer Type Integral Inequalities and Their Applications. AIMS Math, 7, 3202-3220.

has been cited by the following article:

• TITLE: Some Hermite-Hadamard-Mercer Inequalities for General Fractional Convex on the Coordinates

  AUTHORS: Jen Chieh Lo

  KEYWORDS: Hermite-Hadamard-Mercer Inequalities, Fractional Integrals, Generalized Convexity, Coordinate-Wise Convex Functions, Fractional Calculus

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.10, September 28, 2025

  ABSTRACT: In this paper, we establish new Hermite-Hadamard-Mercer type inequalities for functions that are convex on the coordinates by employing the framework of generalized fractional integrals. Several integral identities are derived to obtain midpoint, trapezoidal, and Simpson-type inequalities as special cases. The presented results unify and extend numerous existing inequalities in convex analysis and fractional calculus, thereby providing a more general framework for further applications in numerical analysis, approximation theory, and optimization.