A generalized inequality in non-Newtonian calculus using a multiplicative absolute value for twice-differentiable functions
Year: 2025
Type: article
Abstract: The present paper introduces a novel general inequality derived from functionsthat are twice differentiable in a multiplicative sense, according to the Riemann integral.By employing the multiplicative absolute value and presuming that the function demonstratesmultiplicative $h$-convexity, we can derive further inequality principles.We also present these results for multiplicatively $s$-convex functions and $P$-functions.The final section discusses specific cases, including trapezoids, midpoints, Bullen, Milne,and Simpson multiplicative inequalities.
Authors: Bouharket Benaissa, Azzouz Noureddine
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7117572769