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Ali, M.A., Zhang, Z.Y. and Fečkan, M. (2024) Generalization of Hermite-Hadamard-Mercer and Trapezoid Formula Type Inequalities Involving the Beta Function. Rocky Mountain Journal of Mathematics, 54, 331-341.

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.