This article reveals new inequality rules using multiplicative calculus in functions, indicating midpoints may contribute to generalized inequality understanding.
This article presents a new generalized inequality obtained from functions that can be differentiated multiplicatively, as defined by the Riemann integral. Utilizing the multiplicative absolute value and assuming the function indicates multiplicative h h -convexity, we can establish additional inequality rules. We additionally show these results for multiplicatively P P -functions and multiplicatively s s -convex functions. The last part presents particular situations such as trapezoids, midpoints, Bullen, Milne, and Simpson multiplicative inequalities.
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Benaissa et al. (2025) studied this question.
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