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Öğe A New extension of Hermite Hadamard inequalities associating ψ-Hilfer fractional integral(Palestine Polytechnic University, 2025) Qayyum, Ather; Budak, H¨Useyin; Bat, Umut; Kara, Hasan; Munir, Arslan; Rathour, LaxmiFractional inequalities have been an essential topic in mathematics and have found applications in various domains. In this article, we established some new bounds (below and above) for mid-point type inequality and trapezoidal-type inequality for ψ-Hilfer- fractional integral by utilizing functions whose second derivatives are bounded. We also investigate some new generalization and extension of Hermite-Hadamard type inequalities for ψ-Hilfer fractional integrals for the functions having the condition: (Formula presented). © 2025 Elsevier B.V., All rights reserved.