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Discontinuity, Nonlinearity, and Complexity 15(3) (2026) 451--461 | DOI:10.5890/DNC.2026.09.012

Lucas Gómez, Juan E. Nápoles Valdés

Department of Mathematics, Universidad Nacional del Nordeste, Corrientes, 3400, Argentina

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Abstract

This work explores novel integral inequalities for $(h,m)$-convex functions using key mathematical techniques, including Hölder's, Young's and Power Mean inequalities. By leveraging these classical results, we establish improved bounds and extend Hermite-Hadamard type inequalities. The findings contribute to a deeper understanding of $(h,m)$-convex functions and their role in mathematical analysis. Additionally, we discuss particular cases to emphasize the relevance of our contributions.

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